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	1925m	Isogeny class
Conductor	1925	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	2080	Modular degree for the optimal curve
Δ	-51583984375 = -1 · 59 · 74 · 11	Discriminant
Eigenvalues	-1 -2 5- 7- 11-  6  6  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-2013,-36608]	[a1,a2,a3,a4,a6]
j	-461889917/26411	j-invariant
L	0.71039300263654	L(r)(E,1)/r!
Ω	0.35519650131827	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	30800cg1 123200df1 17325bq1 1925h1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1925m1

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

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Quadratic twists for elliptic curve 1925m1

-4	8	-3	5	-7	-11
30800cg1	123200df1	17325bq1	1925h1	13475v1	21175bb1

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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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