Atkin-Lehner |
2+ 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34650m |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
1886068800000000 = 212 · 37 · 58 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11+ 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-194292,32945616] |
[a1,a2,a3,a4,a6] |
j |
71210194441849/165580800 |
j-invariant |
L |
1.8778676584584 |
L(r)(E,1)/r! |
Ω |
0.46946691461579 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11550ci1 6930bi1 |
Quadratic twists by: -3 5 |