Atkin-Lehner |
2- 3- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22230bk |
Isogeny class |
Conductor |
22230 |
Conductor |
∏ cp |
148 |
Product of Tamagawa factors cp |
deg |
1278720 |
Modular degree for the optimal curve |
Δ |
-6.700431728047E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 -1 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-729518,-1268101443] |
[a1,a2,a3,a4,a6] |
Generators |
[3353:182643:1] |
Generators of the group modulo torsion |
j |
-58898422343082781081/919126437317836800 |
j-invariant |
L |
5.8628984194308 |
L(r)(E,1)/r! |
Ω |
0.069253686591102 |
Real period |
R |
0.5720154472579 |
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 |
7410h1 111150bt1 |
Quadratic twists by: -3 5 |