Atkin-Lehner |
5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
96775d |
Isogeny class |
Conductor |
96775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-90764365234375 = -1 · 510 · 76 · 79 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 4 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8192,-537909] |
[a1,a2,a3,a4,a6] |
j |
-33076161/49375 |
j-invariant |
L |
4.2881305046483 |
L(r)(E,1)/r! |
Ω |
0.23822947769828 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19355b1 1975a1 |
Quadratic twists by: 5 -7 |