Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120fu |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-1760198519540736000 = -1 · 213 · 36 · 53 · 119 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11- -2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,156453,59221514] |
[a1,a2,a3,a4,a6] |
Generators |
[-187:4840:1] |
Generators of the group modulo torsion |
j |
80062991/332750 |
j-invariant |
L |
6.2391285184108 |
L(r)(E,1)/r! |
Ω |
0.18920528007235 |
Real period |
R |
1.3739769204425 |
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 |
10890bz2 9680r2 7920bf2 |
Quadratic twists by: -4 -3 -11 |