Atkin-Lehner |
2- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
21658bd |
Isogeny class |
Conductor |
21658 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-19405888191872 = -1 · 27 · 79 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 1 2 7- 1 13- 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6812,-303472] |
[a1,a2,a3,a4,a6] |
Generators |
[116:628:1] |
Generators of the group modulo torsion |
j |
-297141543217/164947328 |
j-invariant |
L |
10.413436485263 |
L(r)(E,1)/r! |
Ω |
0.25614809803059 |
Real period |
R |
0.7259637076396 |
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 |
3094f1 |
Quadratic twists by: -7 |