Cremona's table of elliptic curves

1925 = 5² · 7 · 11

Field	Data	Notes
Atkin-Lehner	5+ 7- 11-	Signs for the Atkin-Lehner involutions
Class	1925f	Isogeny class
Conductor	1925	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	20220921875 = 56 · 76 · 11	Discriminant
Eigenvalues	-1 -2 5+ 7- 11- -4 -4  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-1288,16317]	[a1,a2,a3,a4,a6]
Generators	[7:84:1]	Generators of the group modulo torsion
j	15124197817/1294139	j-invariant
L	1.3403882964418	L(r)(E,1)/r!
Ω	1.185838214747	Real period
R	0.18838830342016	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	30800bd2 123200bp2 17325x2 77c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1925f2

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	-2	+	-	-	-4	-4	0	4	-6	10	6	4	-12	10	6	2	0	-8	-12	8	8	0	-6	10

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Quadratic twists for elliptic curve 1925f2

-4	8	-3	5	-7	-11
30800bd2	123200bp2	17325x2	77c2	13475i2	21175h2

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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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