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	48	Product of Tamagawa factors cp
Δ	3844000000 = 28 · 56 · 312	Discriminant
Eigenvalues	2-  0 5-  0 -4  2  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-5167,-142926]	[a1,a2,a3,a4,a6]
j	59593532744016/15015625	j-invariant
L	1.689342704938	L(r)(E,1)/r!
Ω	0.56311423497932	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	2480e2 9920f2 11160f2 6200e2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1240g2

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 1240g2

-4	8	-3	5	-7	-31
2480e2	9920f2	11160f2	6200e2	60760r2	38440k2

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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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