Cremona's table of elliptic curves

245 = 5 · 7²

Field	Data	Notes
Atkin-Lehner	5- 7-	Signs for the Atkin-Lehner involutions
Class	245a	Isogeny class
Conductor	245	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	48	Modular degree for the optimal curve
Δ	-42875 = -1 · 53 · 73	Discriminant
Eigenvalues	-2 -3 5- 7-  1 -3  3 -6	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,-7,12]	[a1,a2,a3,a4,a6]
Generators	[7:17:1]	Generators of the group modulo torsion
j	-110592/125	j-invariant
L	0.63334500863381	L(r)(E,1)/r!
Ω	3.2744322569435	Real period
R	0.032236886628249	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	3920bi1 15680z1 2205h1 1225c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 245a1

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	-3	-	-	1	-3	3	-6	-4	-1	-6	0	-6	-6	9	-10	6	0	-14	-8	-6	-1	-12	-12	15

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Quadratic twists for elliptic curve 245a1

-4	8	-3	5	-7	-11	13	17	-19	-23
3920bi1	15680z1	2205h1	1225c1	245b1	29645p1	41405h1	70805u1	88445bu1	129605t1

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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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