Cremona's table of elliptic curves

11440 = 2⁴ · 5 · 11 · 13

Field	Data	Notes
Atkin-Lehner	2- 5+ 11+ 13-	Signs for the Atkin-Lehner involutions
Class	11440k	Isogeny class
Conductor	11440	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	236544	Modular degree for the optimal curve
Δ	-2495107563520000000 = -1 · 234 · 57 · 11 · 132	Discriminant
Eigenvalues	2- -2 5+ -4 11+ 13- -6  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,144464,-72952236]	[a1,a2,a3,a4,a6]
Generators	[9692:954902:1]	Generators of the group modulo torsion
j	81402860249195471/609157120000000	j-invariant
L	1.84986789269	L(r)(E,1)/r!
Ω	0.12794283087951	Real period
R	7.2292752941825	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	1430f1 45760bv1 102960ex1 57200be1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11440k1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	-2	+	-4	+	-	-6	0	-8	4	4	2	0	8	-10	-8	12	-4	8	12	14	-4	-4	-2	12

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Quadratic twists for elliptic curve 11440k1

-4	8	-3	5	-11
1430f1	45760bv1	102960ex1	57200be1	125840bp1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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