Cremona's table of elliptic curves

Curve 2576j2

2576 = 24 · 7 · 23



Data for elliptic curve 2576j2

Field Data Notes
Atkin-Lehner 2- 7+ 23+ Signs for the Atkin-Lehner involutions
Class 2576j Isogeny class
Conductor 2576 Conductor
∏ cp 8 Product of Tamagawa factors cp
Δ 22166953984 = 213 · 76 · 23 Discriminant
Eigenvalues 2-  0 -2 7+  4  4 -8  2 Hecke eigenvalues for primes up to 20
Equation [0,0,0,-3811,-90270] [a1,a2,a3,a4,a6]
j 1494447319737/5411854 j-invariant
L 1.215526392531 L(r)(E,1)/r!
Ω 0.6077631962655 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 322a2 10304q2 23184bp2 64400bv2 Quadratic twists by: -4 8 -3 5


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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