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	1925k	Isogeny class
Conductor	1925	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	5823125 = 54 · 7 · 113	Discriminant
Eigenvalues	0 -2 5- 7- 11+ -1  3 -1	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-1783,-29581]	[a1,a2,a3,a4,a6]
Generators	[-198:-1:8]	Generators of the group modulo torsion
j	1003555225600/9317	j-invariant
L	1.7937045640117	L(r)(E,1)/r!
Ω	0.73466891537982	Real period
R	2.4415141657169	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	30800co2 123200ds2 17325bt2 1925b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1925k2

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	-2	-	-	+	-1	3	-1	0	0	-4	5	3	8	12	-9	-12	-7	-7	-9	5	-4	-12	0	-10

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Quadratic twists for elliptic curve 1925k2

-4	8	-3	5	-7	-11
30800co2	123200ds2	17325bt2	1925b2	13475n2	21175z2

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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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