Atkin-Lehner |
2- 3- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
34056x |
Isogeny class |
Conductor |
34056 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
667565712 = 24 · 36 · 113 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 -1 11- -6 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-291,1451] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:11:1] [-2:45:1] |
Generators of the group modulo torsion |
j |
233644288/57233 |
j-invariant |
L |
7.6329356379692 |
L(r)(E,1)/r! |
Ω |
1.51575695158 |
Real period |
R |
0.41964377545339 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68112i1 3784b1 |
Quadratic twists by: -4 -3 |