Atkin-Lehner |
2- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
11374k |
Isogeny class |
Conductor |
11374 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
39009886599904 = 25 · 1110 · 47 |
Discriminant |
Eigenvalues |
2- 1 1 -4 11- -3 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-73510,7659268] |
[a1,a2,a3,a4,a6] |
j |
1693700041/1504 |
j-invariant |
L |
3.2150719181365 |
L(r)(E,1)/r! |
Ω |
0.6430143836273 |
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 |
90992n1 102366k1 11374g1 |
Quadratic twists by: -4 -3 -11 |