Atkin-Lehner |
2+ 3- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113850u |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8709120 |
Modular degree for the optimal curve |
Δ |
1.4290934545939E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 11+ -3 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-32240592,-70451213184] |
[a1,a2,a3,a4,a6] |
j |
325375754708447065657/12546225115776 |
j-invariant |
L |
0.12671518858307 |
L(r)(E,1)/r! |
Ω |
0.063357758897779 |
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 |
37950cz1 4554bd1 |
Quadratic twists by: -3 5 |