Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120eq |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-28904325120 = -1 · 216 · 36 · 5 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11- 0 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-363,8602] |
[a1,a2,a3,a4,a6] |
j |
-14641/80 |
j-invariant |
L |
2.0417935861485 |
L(r)(E,1)/r! |
Ω |
1.0208967485545 |
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 |
10890br1 9680z1 87120ek1 |
Quadratic twists by: -4 -3 -11 |