Atkin-Lehner |
2+ 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
35090b |
Isogeny class |
Conductor |
35090 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
47328 |
Modular degree for the optimal curve |
Δ |
-25296240640 = -1 · 217 · 5 · 113 · 29 |
Discriminant |
Eigenvalues |
2+ 2 5+ -3 11+ -4 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,537,6197] |
[a1,a2,a3,a4,a6] |
j |
12829337821/19005440 |
j-invariant |
L |
1.6192426675602 |
L(r)(E,1)/r! |
Ω |
0.80962133378084 |
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 |
35090n1 |
Quadratic twists by: -11 |