Atkin-Lehner |
2+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
35264n |
Isogeny class |
Conductor |
35264 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-171524096 = -1 · 214 · 192 · 29 |
Discriminant |
Eigenvalues |
2+ 3 1 2 3 1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,68,-592] |
[a1,a2,a3,a4,a6] |
j |
2122416/10469 |
j-invariant |
L |
7.2835647782975 |
L(r)(E,1)/r! |
Ω |
0.91044559728658 |
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 |
35264y1 2204c1 |
Quadratic twists by: -4 8 |