Atkin-Lehner |
5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
47915a |
Isogeny class |
Conductor |
47915 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6128640 |
Modular degree for the optimal curve |
Δ |
-6.3138966833771E+24 |
Discriminant |
Eigenvalues |
0 -1 5+ 7+ 5 1 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,25962629,-109657464548] |
[a1,a2,a3,a4,a6] |
Generators |
[537752402253495968500244524120:-117882193947762841390329637225852:11307343866876925912122625] |
Generators of the group modulo torsion |
j |
754326479523774464/2460861244296875 |
j-invariant |
L |
3.5136466534936 |
L(r)(E,1)/r! |
Ω |
0.038459828970791 |
Real period |
R |
45.679436798355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1295a1 |
Quadratic twists by: 37 |