Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
30324k |
Isogeny class |
Conductor |
30324 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
69984 |
Modular degree for the optimal curve |
Δ |
-4596673971456 = -1 · 28 · 39 · 7 · 194 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 3 -4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4452,-155484] |
[a1,a2,a3,a4,a6] |
j |
-292571728/137781 |
j-invariant |
L |
2.5719808154899 |
L(r)(E,1)/r! |
Ω |
0.28577564616549 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
121296bu1 90972h1 30324f1 |
Quadratic twists by: -4 -3 -19 |