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	11440i	Isogeny class
Conductor	11440	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	34027136000000 = 213 · 56 · 112 · 133	Discriminant
Eigenvalues	2-  2 5+  4 11+ 13- -6 -8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-374496,88334720]	[a1,a2,a3,a4,a6]
Generators	[344:312:1]	Generators of the group modulo torsion
j	1418098748958579169/8307406250	j-invariant
L	6.6207181976394	L(r)(E,1)/r!
Ω	0.5822260229866	Real period
R	0.94761569336906	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	1430g4 45760bw4 102960ew4 57200bf4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11440i4

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	-8	0	0	4	2	12	-8	-6	-12	-12	8	-8	12	-10	4	-12	6	8

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Quadratic twists for elliptic curve 11440i4

-4	8	-3	5	-11
1430g4	45760bw4	102960ew4	57200bf4	125840bn4

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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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