Atkin-Lehner |
2- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
111392g |
Isogeny class |
Conductor |
111392 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14640 |
Modular degree for the optimal curve |
Δ |
-13144256 = -1 · 26 · 593 |
Discriminant |
Eigenvalues |
2- 0 -2 0 0 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,59,0] |
[a1,a2,a3,a4,a6] |
j |
1728 |
j-invariant |
L |
1.337963238 |
L(r)(E,1)/r! |
Ω |
1.3379633436226 |
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 |
111392g1 111392a1 |
Quadratic twists by: -4 -59 |