Atkin-Lehner |
2- 3- 5+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
49590bq |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
20054016 |
Modular degree for the optimal curve |
Δ |
2.2633866139419E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-211392653,-1180725746763] |
[a1,a2,a3,a4,a6] |
j |
1433064868967223005772725641/3104782735174115328000 |
j-invariant |
L |
5.0686649517352 |
L(r)(E,1)/r! |
Ω |
0.039598944942469 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16530l1 |
Quadratic twists by: -3 |