Atkin-Lehner |
2+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
111392c |
Isogeny class |
Conductor |
111392 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
445440 |
Modular degree for the optimal curve |
Δ |
-159273695028416 = -1 · 26 · 597 |
Discriminant |
Eigenvalues |
2+ 1 -3 5 0 4 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8122,666676] |
[a1,a2,a3,a4,a6] |
j |
-21952/59 |
j-invariant |
L |
2.0315328762595 |
L(r)(E,1)/r! |
Ω |
0.50788304568816 |
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 |
111392d1 1888c1 |
Quadratic twists by: -4 -59 |