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	9	Product of Tamagawa factors cp
deg	216	Modular degree for the optimal curve
Δ	2358125 = 54 · 73 · 11	Discriminant
Eigenvalues	0 -2 5- 7- 11+ -1  3 -1	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-33,-6]	[a1,a2,a3,a4,a6]
Generators	[-6:3:1]	Generators of the group modulo torsion
j	6553600/3773	j-invariant
L	1.7937045640117	L(r)(E,1)/r!
Ω	2.2040067461395	Real period
R	0.81383805523896	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	30800co1 123200ds1 17325bt1 1925b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1925k1

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 1925k1

-4	8	-3	5	-7	-11
30800co1	123200ds1	17325bt1	1925b1	13475n1	21175z1

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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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