Atkin-Lehner |
2+ 5+ 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
77350p |
Isogeny class |
Conductor |
77350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
262080 |
Modular degree for the optimal curve |
Δ |
-113517167968750 = -1 · 2 · 510 · 7 · 132 · 173 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- -1 13- 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,8425,420875] |
[a1,a2,a3,a4,a6] |
j |
6771000575/11624158 |
j-invariant |
L |
2.4325336217552 |
L(r)(E,1)/r! |
Ω |
0.40542227339543 |
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 |
77350bk1 |
Quadratic twists by: 5 |