Atkin-Lehner |
2+ 3+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
23064c |
Isogeny class |
Conductor |
23064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-2888164178916336 = -1 · 24 · 38 · 317 |
Discriminant |
Eigenvalues |
2+ 3+ -3 1 6 0 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7368,-2576619] |
[a1,a2,a3,a4,a6] |
j |
3114752/203391 |
j-invariant |
L |
1.7251304869491 |
L(r)(E,1)/r! |
Ω |
0.21564131086864 |
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 |
46128o1 69192bl1 744c1 |
Quadratic twists by: -4 -3 -31 |