Atkin-Lehner |
2- 3+ 11- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
110682bi |
Isogeny class |
Conductor |
110682 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
125952 |
Modular degree for the optimal curve |
Δ |
276918394896 = 24 · 39 · 112 · 132 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11- 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2459,40123] |
[a1,a2,a3,a4,a6] |
Generators |
[17:46:1] |
Generators of the group modulo torsion |
j |
83510756811/14068912 |
j-invariant |
L |
14.524460592364 |
L(r)(E,1)/r! |
Ω |
0.93287590397017 |
Real period |
R |
1.9461940914734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009148 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110682f1 |
Quadratic twists by: -3 |