Atkin-Lehner |
2+ 3- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
64974ba |
Isogeny class |
Conductor |
64974 |
Conductor |
∏ cp |
196 |
Product of Tamagawa factors cp |
deg |
5531904 |
Modular degree for the optimal curve |
Δ |
-6.0259692998507E+22 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 2 13- 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9166456,-15925397050] |
[a1,a2,a3,a4,a6] |
Generators |
[18736:2518370:1] |
Generators of the group modulo torsion |
j |
-724002020651148891625/512198939204813952 |
j-invariant |
L |
6.0232817651315 |
L(r)(E,1)/r! |
Ω |
0.042070932150378 |
Real period |
R |
0.73045753548628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999222 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9282b1 |
Quadratic twists by: -7 |