Cremona's table of elliptic curves

245 = 5 · 7²

Field	Data	Notes
Atkin-Lehner	5- 7-	Signs for the Atkin-Lehner involutions
Class	245c	Isogeny class
Conductor	245	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	32	Modular degree for the optimal curve
Δ	-4117715 = -1 · 5 · 77	Discriminant
Eigenvalues	0 -1 5- 7- -3 -5 -3 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,-65,-204]	[a1,a2,a3,a4,a6]
Generators	[12:24:1]	Generators of the group modulo torsion
j	-262144/35	j-invariant
L	1.2247323721514	L(r)(E,1)/r!
Ω	0.8334283977788	Real period
R	0.36737780216497	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	3920bc1 15680j1 2205g1 1225a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 245c1

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	-1	-	-	-3	-5	-3	-2	-6	3	4	2	12	-10	-9	12	0	-8	-4	0	-2	-1	-12	12	1

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Quadratic twists for elliptic curve 245c1

-4	8	-3	5	-7	-11	13	17	-19	-23
3920bc1	15680j1	2205g1	1225a1	35a3	29645o1	41405d1	70805e1	88445bn1	129605a1

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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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