Atkin-Lehner |
2- 3+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
47658w |
Isogeny class |
Conductor |
47658 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
8128512 |
Modular degree for the optimal curve |
Δ |
-1.0315170361531E+24 |
Discriminant |
Eigenvalues |
2- 3+ -2 3 -3 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,20464291,33446740595] |
[a1,a2,a3,a4,a6] |
Generators |
[-1051:104348:1] |
Generators of the group modulo torsion |
j |
196360308324344317607/213705791166184512 |
j-invariant |
L |
6.8063753322124 |
L(r)(E,1)/r! |
Ω |
0.058127665313246 |
Real period |
R |
1.3939709659401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3666d1 |
Quadratic twists by: 13 |