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	12	Product of Tamagawa factors cp
Δ	-5044200875 = -1 · 53 · 79	Discriminant
Eigenvalues	0 -1 5- 7- -3 -5 -3 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,425,433]	[a1,a2,a3,a4,a6]
Generators	[89:857:1]	Generators of the group modulo torsion
j	71991296/42875	j-invariant
L	1.2247323721514	L(r)(E,1)/r!
Ω	0.8334283977788	Real period
R	0.12245926738832	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	3920bc2 15680j2 2205g2 1225a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 245c2

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 245c2

-4	8	-3	5	-7	-11	13	17	-19	-23
3920bc2	15680j2	2205g2	1225a2	35a1	29645o2	41405d2	70805e2	88445bn2	129605a2

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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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