Atkin-Lehner |
2- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
90992v |
Isogeny class |
Conductor |
90992 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-154780670623744 = -1 · 218 · 112 · 474 |
Discriminant |
Eigenvalues |
2- 0 3 4 11- 5 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19811,1228898] |
[a1,a2,a3,a4,a6] |
j |
-1734992444097/312299584 |
j-invariant |
L |
4.4363640547943 |
L(r)(E,1)/r! |
Ω |
0.55454552277766 |
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 |
11374c1 90992w1 |
Quadratic twists by: -4 -11 |