Cremona's table of elliptic curves

1240 = 2³ · 5 · 31

Field	Data	Notes
Atkin-Lehner	2- 5- 31-	Signs for the Atkin-Lehner involutions
Class	1240g	Isogeny class
Conductor	1240	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	-7750000000000 = -1 · 210 · 512 · 31	Discriminant
Eigenvalues	2-  0 5-  0 -4  2  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-4547,-178514]	[a1,a2,a3,a4,a6]
j	-10153098934884/7568359375	j-invariant
L	1.689342704938	L(r)(E,1)/r!
Ω	0.28155711748966	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	2480e4 9920f4 11160f4 6200e4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1240g4

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

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Quadratic twists for elliptic curve 1240g4

-4	8	-3	5	-7	-31
2480e4	9920f4	11160f4	6200e4	60760r3	38440k3

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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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