Atkin-Lehner |
2+ 5+ 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
91120c |
Isogeny class |
Conductor |
91120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
141696 |
Modular degree for the optimal curve |
Δ |
-19536128000 = -1 · 211 · 53 · 17 · 672 |
Discriminant |
Eigenvalues |
2+ 1 5+ 4 -2 3 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24216,1442420] |
[a1,a2,a3,a4,a6] |
j |
-766865001550898/9539125 |
j-invariant |
L |
4.434877037661 |
L(r)(E,1)/r! |
Ω |
1.1087192993681 |
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 |
45560b1 |
Quadratic twists by: -4 |