Atkin-Lehner |
2- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
32912p |
Isogeny class |
Conductor |
32912 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
107712 |
Modular degree for the optimal curve |
Δ |
-10261788351232 = -1 · 28 · 119 · 17 |
Discriminant |
Eigenvalues |
2- 2 0 1 11+ -2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-141973,20637993] |
[a1,a2,a3,a4,a6] |
j |
-524288000/17 |
j-invariant |
L |
2.7000653865646 |
L(r)(E,1)/r! |
Ω |
0.67501634663902 |
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 |
8228a1 32912r1 |
Quadratic twists by: -4 -11 |