Atkin-Lehner |
2- 3- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
98394bo |
Isogeny class |
Conductor |
98394 |
Conductor |
∏ cp |
810 |
Product of Tamagawa factors cp |
deg |
20528640 |
Modular degree for the optimal curve |
Δ |
-2.2593962872431E+25 |
Discriminant |
Eigenvalues |
2- 3- 1 0 3 -5 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-73899195,334790828433] |
[a1,a2,a3,a4,a6] |
Generators |
[-186:590457:1] |
Generators of the group modulo torsion |
j |
-301492018259600732929/152624900793014784 |
j-invariant |
L |
14.243009654164 |
L(r)(E,1)/r! |
Ω |
0.06308040530932 |
Real period |
R |
0.27875474862018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006339 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4278o1 |
Quadratic twists by: -23 |