Atkin-Lehner |
2- 3- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
31878bs |
Isogeny class |
Conductor |
31878 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
157696 |
Modular degree for the optimal curve |
Δ |
-608818642727526 = -1 · 2 · 317 · 7 · 114 · 23 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11- -1 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-464,-1187031] |
[a1,a2,a3,a4,a6] |
j |
-15124197817/835142171094 |
j-invariant |
L |
3.7603039096766 |
L(r)(E,1)/r! |
Ω |
0.23501899435501 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10626b1 |
Quadratic twists by: -3 |