Atkin-Lehner |
3- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
116865r |
Isogeny class |
Conductor |
116865 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1900800 |
Modular degree for the optimal curve |
Δ |
-8153056872615823875 = -1 · 321 · 53 · 76 · 53 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 0 4 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-216678,142758229] |
[a1,a2,a3,a4,a6] |
j |
-13117540040704/95061508875 |
j-invariant |
L |
1.6026244577203 |
L(r)(E,1)/r! |
Ω |
0.20032808155295 |
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 |
38955g1 2385f1 |
Quadratic twists by: -3 -7 |