Atkin-Lehner |
2- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
90992t |
Isogeny class |
Conductor |
90992 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-1364187004928 = -1 · 214 · 116 · 47 |
Discriminant |
Eigenvalues |
2- 0 0 0 11- 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,605,-55902] |
[a1,a2,a3,a4,a6] |
j |
3375/188 |
j-invariant |
L |
0.81814154999395 |
L(r)(E,1)/r! |
Ω |
0.40907084531731 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11374a1 752a1 |
Quadratic twists by: -4 -11 |