Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120fu |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-2327535232450560 = -1 · 215 · 36 · 5 · 117 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11- -2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17787,-2494294] |
[a1,a2,a3,a4,a6] |
Generators |
[11055:207152:27] |
Generators of the group modulo torsion |
j |
-117649/440 |
j-invariant |
L |
6.2391285184108 |
L(r)(E,1)/r! |
Ω |
0.18920528007235 |
Real period |
R |
4.1219307613275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008534 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10890bz1 9680r1 7920bf1 |
Quadratic twists by: -4 -3 -11 |