Atkin-Lehner |
2- 3- 13- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75582bl |
Isogeny class |
Conductor |
75582 |
Conductor |
∏ cp |
272 |
Product of Tamagawa factors cp |
deg |
23396352 |
Modular degree for the optimal curve |
Δ |
6.9031174955675E+24 |
Discriminant |
Eigenvalues |
2- 3- 0 4 -2 13- 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-278809520,1787487729171] |
[a1,a2,a3,a4,a6] |
j |
3287902864533307206636957625/9469296976087096492032 |
j-invariant |
L |
5.1012473669762 |
L(r)(E,1)/r! |
Ω |
0.075018343748605 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25194i1 |
Quadratic twists by: -3 |