Atkin-Lehner |
2- 5+ 23- 67- |
Signs for the Atkin-Lehner involutions |
Class |
77050p |
Isogeny class |
Conductor |
77050 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
326400 |
Modular degree for the optimal curve |
Δ |
-354430000000000 = -1 · 210 · 510 · 232 · 67 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 0 2 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2513,906031] |
[a1,a2,a3,a4,a6] |
j |
-179726425/36293632 |
j-invariant |
L |
8.7880008845335 |
L(r)(E,1)/r! |
Ω |
0.43940004370057 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77050g1 |
Quadratic twists by: 5 |