Atkin-Lehner |
2- 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
35784v |
Isogeny class |
Conductor |
35784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
-156519216 = -1 · 24 · 39 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 3 1 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-174,1069] |
[a1,a2,a3,a4,a6] |
Generators |
[2:27:1] |
Generators of the group modulo torsion |
j |
-49948672/13419 |
j-invariant |
L |
4.8186490403627 |
L(r)(E,1)/r! |
Ω |
1.7319441974836 |
Real period |
R |
0.34777744624826 |
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 |
71568l1 11928d1 |
Quadratic twists by: -4 -3 |