Atkin-Lehner |
5+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
88985d |
Isogeny class |
Conductor |
88985 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
639360 |
Modular degree for the optimal curve |
Δ |
42237565433400025 = 52 · 13 · 379 |
Discriminant |
Eigenvalues |
1 0 5+ 2 4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-98140,6525531] |
[a1,a2,a3,a4,a6] |
j |
804357/325 |
j-invariant |
L |
0.32803086036033 |
L(r)(E,1)/r! |
Ω |
0.32803089265584 |
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 |
88985k1 |
Quadratic twists by: 37 |