Atkin-Lehner |
2+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
2576i |
Isogeny class |
Conductor |
2576 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-1122245340272 = -1 · 24 · 78 · 233 |
Discriminant |
Eigenvalues |
2+ -3 2 7- -2 -1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8419,-301667] |
[a1,a2,a3,a4,a6] |
Generators |
[404:7889:1] |
Generators of the group modulo torsion |
j |
-4124632486295808/70140333767 |
j-invariant |
L |
2.3064785995149 |
L(r)(E,1)/r! |
Ω |
0.24895222323396 |
Real period |
R |
0.38603099715832 |
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 |
1288g1 10304bl1 23184m1 64400f1 |
Quadratic twists by: -4 8 -3 5 |