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	1925i	Isogeny class
Conductor	1925	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	10850811125 = 53 · 72 · 116	Discriminant
Eigenvalues	-1 -2 5- 7+ 11- -2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-1168,14427]	[a1,a2,a3,a4,a6]
Generators	[13:32:1]	Generators of the group modulo torsion
j	1409825840597/86806489	j-invariant
L	1.2534549119849	L(r)(E,1)/r!
Ω	1.2587693832655	Real period
R	0.16596300702479	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	30800ct2 123200co2 17325bi2 1925l2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1925i2

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

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Quadratic twists for elliptic curve 1925i2

-4	8	-3	5	-7	-11
30800ct2	123200co2	17325bi2	1925l2	13475u2	21175bi2

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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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