Atkin-Lehner |
2- 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
35258h |
Isogeny class |
Conductor |
35258 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-1702084815604 = -1 · 22 · 178 · 61 |
Discriminant |
Eigenvalues |
2- 0 -1 1 1 -5 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1933,-70295] |
[a1,a2,a3,a4,a6] |
j |
-33076161/70516 |
j-invariant |
L |
1.3498535464815 |
L(r)(E,1)/r! |
Ω |
0.33746338662109 |
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 |
2074b1 |
Quadratic twists by: 17 |