Atkin-Lehner |
2+ 3- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
13266i |
Isogeny class |
Conductor |
13266 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
9861520648725504 = 210 · 37 · 114 · 673 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11- 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-157563,-23554715] |
[a1,a2,a3,a4,a6] |
Generators |
[-213:662:1] |
Generators of the group modulo torsion |
j |
593417647832152753/13527463166976 |
j-invariant |
L |
3.3010429513092 |
L(r)(E,1)/r! |
Ω |
0.23995987900226 |
Real period |
R |
3.4391613350477 |
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 |
106128bj1 4422j1 |
Quadratic twists by: -4 -3 |