Atkin-Lehner |
2- 7- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
65366q |
Isogeny class |
Conductor |
65366 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
51154768376692736 = 216 · 79 · 23 · 292 |
Discriminant |
Eigenvalues |
2- 2 2 7- -6 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-129312,-14263999] |
[a1,a2,a3,a4,a6] |
j |
2032601155983217/434808356864 |
j-invariant |
L |
8.1784936457647 |
L(r)(E,1)/r! |
Ω |
0.25557792656274 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9338j1 |
Quadratic twists by: -7 |