Atkin-Lehner |
2- 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
35258i |
Isogeny class |
Conductor |
35258 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
269280 |
Modular degree for the optimal curve |
Δ |
-108933428198656 = -1 · 28 · 178 · 61 |
Discriminant |
Eigenvalues |
2- 0 1 -1 -1 -2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1590277,-771495683] |
[a1,a2,a3,a4,a6] |
j |
-63760309805601/15616 |
j-invariant |
L |
1.6132906663477 |
L(r)(E,1)/r! |
Ω |
0.067220444432168 |
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 |
35258g1 |
Quadratic twists by: 17 |