Atkin-Lehner |
2+ 3- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
125400bc |
Isogeny class |
Conductor |
125400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
2351250000 = 24 · 32 · 57 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-78383,-8472762] |
[a1,a2,a3,a4,a6] |
Generators |
[414:5496:1] |
Generators of the group modulo torsion |
j |
213036926826496/9405 |
j-invariant |
L |
7.2542380153669 |
L(r)(E,1)/r! |
Ω |
0.2853274951088 |
Real period |
R |
6.3560629087109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999743338 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25080n1 |
Quadratic twists by: 5 |