Cremona's table of elliptic curves

7225 = 5² · 17²

Field	Data	Notes
Atkin-Lehner	5+ 17-	Signs for the Atkin-Lehner involutions
Class	7225f	Isogeny class
Conductor	7225	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	544981050078125 = 57 · 178	Discriminant
Eigenvalues	0  2 5+ -2 -3 -2 17- -7	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,-6223133,-5973253832]	[a1,a2,a3,a4,a6]
j	244534214656/5	j-invariant
L	1.1470398988666	L(r)(E,1)/r!
Ω	0.095586658238883	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	115600ck2 65025bw2 1445e2 7225a2	Quadratic twists by: -4 -3 5 17

Hecke Eigenvalues for elliptic curve 7225f2

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	2	+	-2	-3	-2	-	-7	-6	-3	8	4	9	-2	12	0	-9	-7	16	-3	16	-1	12	9	-2

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Quadratic twists for elliptic curve 7225f2

-4	-3	5	17
115600ck2	65025bw2	1445e2	7225a2

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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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