Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520fh |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
409060936581120 = 216 · 316 · 5 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25068,-1177648] |
[a1,a2,a3,a4,a6] |
j |
36464923876/8562105 |
j-invariant |
L |
1.5434315674965 |
L(r)(E,1)/r! |
Ω |
0.38585789377848 |
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 |
83520bi1 20880v1 27840cz1 |
Quadratic twists by: -4 8 -3 |