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	11440d	Isogeny class
Conductor	11440	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	3840	Modular degree for the optimal curve
Δ	-2303375360 = -1 · 211 · 5 · 113 · 132	Discriminant
Eigenvalues	2+  1 5+  3 11- 13-  3 -1	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-176,2420]	[a1,a2,a3,a4,a6]
Generators	[44:286:1]	Generators of the group modulo torsion
j	-296071778/1124695	j-invariant
L	5.6070309245482	L(r)(E,1)/r!
Ω	1.2727838696699	Real period
R	0.36711069976622	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	5720e1 45760bp1 102960bh1 57200i1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11440d1

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
+	1	+	3	-	-	3	-1	0	1	-9	-5	-8	-2	-4	5	-14	-5	4	-3	6	0	-2	-13	8

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Quadratic twists for elliptic curve 11440d1

-4	8	-3	5	-11
5720e1	45760bp1	102960bh1	57200i1	125840d1

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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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