Atkin-Lehner |
2- 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
33418bn |
Isogeny class |
Conductor |
33418 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
8022458752 = 27 · 72 · 113 · 312 |
Discriminant |
Eigenvalues |
2- 1 -2 7- 11- -1 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-34364,2449040] |
[a1,a2,a3,a4,a6] |
Generators |
[176:1276:1] |
Generators of the group modulo torsion |
j |
91588206165554833/163723648 |
j-invariant |
L |
8.7215794468354 |
L(r)(E,1)/r! |
Ω |
1.1240992995347 |
Real period |
R |
0.18473159229086 |
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 |
33418w1 |
Quadratic twists by: -7 |