Atkin-Lehner |
3- 5+ 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
77805m |
Isogeny class |
Conductor |
77805 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1228800 |
Modular degree for the optimal curve |
Δ |
31530081134813625 = 311 · 53 · 78 · 13 · 19 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -4 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1413945,647435200] |
[a1,a2,a3,a4,a6] |
j |
428838636060792331921/43251140102625 |
j-invariant |
L |
0.70994720706489 |
L(r)(E,1)/r! |
Ω |
0.35497358245284 |
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 |
25935i1 |
Quadratic twists by: -3 |