Cremona's table of elliptic curves

1245 = 3 · 5 · 83

Field	Data	Notes
Atkin-Lehner	3+ 5- 83+	Signs for the Atkin-Lehner involutions
Class	1245b	Isogeny class
Conductor	1245	Conductor
∏ cp	10	Product of Tamagawa factors cp
deg	3120	Modular degree for the optimal curve
Δ	16751572265625 = 3 · 510 · 833	Discriminant
Eigenvalues	-1 3+ 5-  0  2  4 -4 -2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-34695,-2494068]	[a1,a2,a3,a4,a6]
j	4618757595675440881/16751572265625	j-invariant
L	0.87471686564835	L(r)(E,1)/r!
Ω	0.34988674625934	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	19920s1 79680t1 3735c1 6225g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1245b1

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	+	-	0	2	4	-4	-2	0	-2	0	2	-2	4	8	14	14	-14	0	16	-8	6	+	6	8

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Quadratic twists for elliptic curve 1245b1

-4	8	-3	5	-7	-83
19920s1	79680t1	3735c1	6225g1	61005s1	103335c1

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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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