Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304he |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-4692867522330624 = -1 · 215 · 3 · 710 · 132 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -3 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3201,-3297729] |
[a1,a2,a3,a4,a6] |
j |
-392/507 |
j-invariant |
L |
1.5690637665627 |
L(r)(E,1)/r! |
Ω |
0.19613309557382 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304fd1 61152bj1 122304eo1 |
Quadratic twists by: -4 8 -7 |