Atkin-Lehner |
2+ 3- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
38592r |
Isogeny class |
Conductor |
38592 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-4032306427723776 = -1 · 222 · 315 · 67 |
Discriminant |
Eigenvalues |
2+ 3- -3 -1 0 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-83244,-9736144] |
[a1,a2,a3,a4,a6] |
j |
-333822098953/21100176 |
j-invariant |
L |
2.2403530128507 |
L(r)(E,1)/r! |
Ω |
0.14002206330554 |
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 |
38592ch1 1206f1 12864c1 |
Quadratic twists by: -4 8 -3 |