Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120es |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1182720 |
Modular degree for the optimal curve |
Δ |
-2000225590387200000 = -1 · 212 · 36 · 55 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11- -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-203643,-76689558] |
[a1,a2,a3,a4,a6] |
j |
-1459161/3125 |
j-invariant |
L |
0.63186581687034 |
L(r)(E,1)/r! |
Ω |
0.10531097214223 |
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 |
5445h1 9680bf1 87120em1 |
Quadratic twists by: -4 -3 -11 |