Atkin-Lehner |
2- 5+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
35090n |
Isogeny class |
Conductor |
35090 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
520608 |
Modular degree for the optimal curve |
Δ |
-44813833364439040 = -1 · 217 · 5 · 119 · 29 |
Discriminant |
Eigenvalues |
2- 2 5+ 3 11+ 4 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,64914,-7923541] |
[a1,a2,a3,a4,a6] |
j |
12829337821/19005440 |
j-invariant |
L |
6.478950468295 |
L(r)(E,1)/r! |
Ω |
0.1905573667137 |
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 |
35090b1 |
Quadratic twists by: -11 |