Cremona's table of elliptic curves

925 = 5² · 37

Field	Data	Notes
Atkin-Lehner	5+ 37+	Signs for the Atkin-Lehner involutions
Class	925b	Isogeny class
Conductor	925	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	791453125 = 56 · 373	Discriminant
Eigenvalues	0 -1 5+  1  3  4 -6  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,-583,-5057]	[a1,a2,a3,a4,a6]
Generators	[-13:12:1]	Generators of the group modulo torsion
j	1404928000/50653	j-invariant
L	1.8478028503974	L(r)(E,1)/r!
Ω	0.97360331068408	Real period
R	0.94895057880352	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	14800l2 59200x2 8325q2 37b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 925b2

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	+	1	3	4	-6	2	-6	-6	-4	+	-9	-8	-3	3	12	8	4	-15	-11	-10	-9	6	-8

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Quadratic twists for elliptic curve 925b2

-4	8	-3	5	-7	-11	37
14800l2	59200x2	8325q2	37b1	45325c2	111925d2	34225b2

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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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