Atkin-Lehner |
2- 5+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
80080v |
Isogeny class |
Conductor |
80080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5806080 |
Modular degree for the optimal curve |
Δ |
9.0915429539669E+20 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 11+ 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38617976,-92346040720] |
[a1,a2,a3,a4,a6] |
Generators |
[-510067656080999325070524:460168221980000788046848:141824315567488527351] |
Generators of the group modulo torsion |
j |
1555006827939811751684089/221961497899581440 |
j-invariant |
L |
8.2006514442955 |
L(r)(E,1)/r! |
Ω |
0.060562793135598 |
Real period |
R |
33.851854494689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000271 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010f1 |
Quadratic twists by: -4 |