Atkin-Lehner |
3- 11- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
8151h |
Isogeny class |
Conductor |
8151 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
118029960477 = 32 · 11 · 137 · 19 |
Discriminant |
Eigenvalues |
2 3- 0 1 11- 13+ -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1308,-8089] |
[a1,a2,a3,a4,a6] |
Generators |
[-732:4717:64] |
Generators of the group modulo torsion |
j |
247673152000000/118029960477 |
j-invariant |
L |
9.6837814166989 |
L(r)(E,1)/r! |
Ω |
0.83200005796851 |
Real period |
R |
5.819579772833 |
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 |
24453c1 89661q1 105963s1 |
Quadratic twists by: -3 -11 13 |