Atkin-Lehner |
2+ 5+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
51920b |
Isogeny class |
Conductor |
51920 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
57834726400 = 210 · 52 · 11 · 593 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 11+ 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-753043,251523042] |
[a1,a2,a3,a4,a6] |
Generators |
[-221:20178:1] [251:8850:1] |
Generators of the group modulo torsion |
j |
46119339936500814756/56479225 |
j-invariant |
L |
7.9186316405793 |
L(r)(E,1)/r! |
Ω |
0.70748121010848 |
Real period |
R |
1.8654515784173 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999934 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25960e1 |
Quadratic twists by: -4 |