Atkin-Lehner |
2+ 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83790ca |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
6193152 |
Modular degree for the optimal curve |
Δ |
1.4835372082829E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11845269,15584689525] |
[a1,a2,a3,a4,a6] |
Generators |
[6611:472277:1] |
Generators of the group modulo torsion |
j |
6248109436056487/50429952000 |
j-invariant |
L |
6.0065583072385 |
L(r)(E,1)/r! |
Ω |
0.15188530156323 |
Real period |
R |
6.5911121129976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002864 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27930ca1 83790x1 |
Quadratic twists by: -3 -7 |