Atkin-Lehner |
2- 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
23920i |
Isogeny class |
Conductor |
23920 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
3239342080 = 212 · 5 · 13 · 233 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 -2 13+ 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17616,-894080] |
[a1,a2,a3,a4,a6] |
Generators |
[-2058:46:27] |
Generators of the group modulo torsion |
j |
147608144916049/790855 |
j-invariant |
L |
3.6706824681101 |
L(r)(E,1)/r! |
Ω |
0.4144010188055 |
Real period |
R |
1.4763004519514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1495a1 95680ca1 119600bd1 |
Quadratic twists by: -4 8 5 |