Atkin-Lehner |
2- 3+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
22326h |
Isogeny class |
Conductor |
22326 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
193440 |
Modular degree for the optimal curve |
Δ |
-2413626498064128 = -1 · 28 · 3 · 617 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5659,-2371735] |
[a1,a2,a3,a4,a6] |
j |
-389017/46848 |
j-invariant |
L |
0.40708195314517 |
L(r)(E,1)/r! |
Ω |
0.20354097657261 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
66978f1 366e1 |
Quadratic twists by: -3 61 |