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	1925c	Isogeny class
Conductor	1925	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	5263671875 = 510 · 72 · 11	Discriminant
Eigenvalues	1  2 5+ 7+ 11+ -4  4 -8	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-1375,18750]	[a1,a2,a3,a4,a6]
Generators	[30:60:1]	Generators of the group modulo torsion
j	18420660721/336875	j-invariant
L	4.5075282800805	L(r)(E,1)/r!
Ω	1.3609193082207	Real period
R	1.6560600811718	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	30800cb2 123200be2 17325t2 385b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1925c2

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	-8	0	-6	-6	6	0	4	6	-10	-14	12	-12	-12	8	8	16	-14	2

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Quadratic twists for elliptic curve 1925c2

-4	8	-3	5	-7	-11
30800cb2	123200be2	17325t2	385b2	13475d2	21175v2

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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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