Atkin-Lehner |
2+ 3- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
12078m |
Isogeny class |
Conductor |
12078 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
42624 |
Modular degree for the optimal curve |
Δ |
-38084338778112 = -1 · 218 · 39 · 112 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16587,-870075] |
[a1,a2,a3,a4,a6] |
j |
-692332063944625/52241891328 |
j-invariant |
L |
0.41886860499154 |
L(r)(E,1)/r! |
Ω |
0.20943430249577 |
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 |
96624bk1 4026i1 |
Quadratic twists by: -4 -3 |