Atkin-Lehner |
2+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
88360j |
Isogeny class |
Conductor |
88360 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4764672 |
Modular degree for the optimal curve |
Δ |
1.4324870055715E+20 |
Discriminant |
Eigenvalues |
2+ 1 5- 1 -1 -1 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-72226200,236235258848] |
[a1,a2,a3,a4,a6] |
Generators |
[4876:3580:1] |
Generators of the group modulo torsion |
j |
36360290012/125 |
j-invariant |
L |
8.167133116268 |
L(r)(E,1)/r! |
Ω |
0.16062859689076 |
Real period |
R |
4.2370688636464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997923 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88360d1 |
Quadratic twists by: -47 |