Atkin-Lehner |
2- 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
70516g |
Isogeny class |
Conductor |
70516 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
135864 |
Modular degree for the optimal curve |
Δ |
108933428198656 = 28 · 178 · 61 |
Discriminant |
Eigenvalues |
2- 1 -1 2 -4 2 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13101,280223] |
[a1,a2,a3,a4,a6] |
j |
139264/61 |
j-invariant |
L |
1.6044451086287 |
L(r)(E,1)/r! |
Ω |
0.53481504313184 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70516d1 |
Quadratic twists by: 17 |