Atkin-Lehner |
2- 3+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
87204g |
Isogeny class |
Conductor |
87204 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
84672 |
Modular degree for the optimal curve |
Δ |
-159400540416 = -1 · 28 · 3 · 136 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 1 13+ -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-732,-20424] |
[a1,a2,a3,a4,a6] |
j |
-35152/129 |
j-invariant |
L |
1.2611855946987 |
L(r)(E,1)/r! |
Ω |
0.42039517966476 |
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 |
516a1 |
Quadratic twists by: 13 |