Atkin-Lehner |
2- 3+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
66792ba |
Isogeny class |
Conductor |
66792 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-49890916077057792 = -1 · 28 · 314 · 116 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11- -2 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-351908,-80949372] |
[a1,a2,a3,a4,a6] |
j |
-10627137250000/110008287 |
j-invariant |
L |
0.39179075133569 |
L(r)(E,1)/r! |
Ω |
0.097947686361982 |
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 |
552b1 |
Quadratic twists by: -11 |