Cremona's table of elliptic curves

9025 = 5² · 19²

Field	Data	Notes
Atkin-Lehner	5- 19-	Signs for the Atkin-Lehner involutions
Class	9025h	Isogeny class
Conductor	9025	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	33171021564453125 = 59 · 198	Discriminant
Eigenvalues	-1  0 5- -2 -4 -2 -4 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-222805,-39463928]	[a1,a2,a3,a4,a6]
Generators	[544:40:1]	Generators of the group modulo torsion
j	13312053/361	j-invariant
L	1.888015754413	L(r)(E,1)/r!
Ω	0.22010888103794	Real period
R	4.2888222990138	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	81225bo2 9025g2 475b2	Quadratic twists by: -3 5 -19

Hecke Eigenvalues for elliptic curve 9025h2

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
-1	0	-	-2	-4	-2	-4	-	6	6	4	-10	10	-2	6	10	0	2	8	-4	-4	-4	18	2	6

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Quadratic twists for elliptic curve 9025h2

-3	5	-19
81225bo2	9025g2	475b2

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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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