Atkin-Lehner |
2- 7+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
68432k |
Isogeny class |
Conductor |
68432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-1885928984576 = -1 · 212 · 73 · 134 · 47 |
Discriminant |
Eigenvalues |
2- 3 1 7+ -3 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4507,133898] |
[a1,a2,a3,a4,a6] |
j |
-2471874619761/460431881 |
j-invariant |
L |
6.3993312298778 |
L(r)(E,1)/r! |
Ω |
0.79991640617367 |
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 |
4277c1 |
Quadratic twists by: -4 |