Atkin-Lehner |
5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
96775f |
Isogeny class |
Conductor |
96775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-2269109130859375 = -1 · 512 · 76 · 79 |
Discriminant |
Eigenvalues |
1 2 5+ 7- 4 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-49025,4745000] |
[a1,a2,a3,a4,a6] |
j |
-7088952961/1234375 |
j-invariant |
L |
0.88752644378004 |
L(r)(E,1)/r! |
Ω |
0.44376333293956 |
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 |
19355c1 1975c1 |
Quadratic twists by: 5 -7 |