Atkin-Lehner |
3- 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
11817b |
Isogeny class |
Conductor |
11817 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
8614593 = 38 · 13 · 101 |
Discriminant |
Eigenvalues |
-1 3- 2 0 4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2219,-39670] |
[a1,a2,a3,a4,a6] |
Generators |
[338806:3801036:2197] |
Generators of the group modulo torsion |
j |
1656855346537/11817 |
j-invariant |
L |
3.5926527462888 |
L(r)(E,1)/r! |
Ω |
0.69562584043689 |
Real period |
R |
10.32926765352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3939c1 |
Quadratic twists by: -3 |