Atkin-Lehner |
3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
35739u |
Isogeny class |
Conductor |
35739 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-85117539177 = -1 · 311 · 113 · 192 |
Discriminant |
Eigenvalues |
1 3- 2 3 11- 6 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,189,13954] |
[a1,a2,a3,a4,a6] |
j |
2828663/323433 |
j-invariant |
L |
4.9680865306215 |
L(r)(E,1)/r! |
Ω |
0.82801442176692 |
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 |
11913b1 35739s1 |
Quadratic twists by: -3 -19 |