Atkin-Lehner |
2- 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
68276c |
Isogeny class |
Conductor |
68276 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
26928 |
Modular degree for the optimal curve |
Δ |
124801973504 = 28 · 136 · 101 |
Discriminant |
Eigenvalues |
2- 0 1 2 2 13+ -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1352,8788] |
[a1,a2,a3,a4,a6] |
Generators |
[-4893:54419:343] |
Generators of the group modulo torsion |
j |
221184/101 |
j-invariant |
L |
7.227965848526 |
L(r)(E,1)/r! |
Ω |
0.93602009915633 |
Real period |
R |
7.7220199172563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998459 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
404a1 |
Quadratic twists by: 13 |