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	1925a	Isogeny class
Conductor	1925	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-2446731546875 = -1 · 56 · 76 · 113	Discriminant
Eigenvalues	0 -1 5+ 7+ 11+  4  6  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,-1233,77493]	[a1,a2,a3,a4,a6]
Generators	[-47:171:1]	Generators of the group modulo torsion
j	-13278380032/156590819	j-invariant
L	2.0525105175141	L(r)(E,1)/r!
Ω	0.69269363955864	Real period
R	1.4815427775704	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	30800bt2 123200s2 17325n2 77b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1925a2

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	+	+	+	4	6	2	-3	-6	5	-11	6	-8	0	6	-9	-10	-5	9	-2	-10	-12	-3	1

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Quadratic twists for elliptic curve 1925a2

-4	8	-3	5	-7	-11
30800bt2	123200s2	17325n2	77b1	13475a2	21175q2

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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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