Cremona's table of elliptic curves

925 = 5² · 37

Field	Data	Notes
Atkin-Lehner	5+ 37+	Signs for the Atkin-Lehner involutions
Class	925a	Isogeny class
Conductor	925	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	192	Modular degree for the optimal curve
Δ	14453125 = 58 · 37	Discriminant
Eigenvalues	0  1 5+  3 -5 -4  4 -8	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-133,519]	[a1,a2,a3,a4,a6]
Generators	[3:12:1]	Generators of the group modulo torsion
j	16777216/925	j-invariant
L	2.4066435607765	L(r)(E,1)/r!
Ω	2.1906183485302	Real period
R	0.54930690286403	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	14800m1 59200z1 8325t1 185b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 925a1

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	-4	4	-8	-4	4	2	+	-5	6	-9	-3	-8	-10	4	5	15	-14	-11	-2	-10

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Quadratic twists for elliptic curve 925a1

-4	8	-3	5	-7	-11	37
14800m1	59200z1	8325t1	185b1	45325e1	111925c1	34225a1

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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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