Atkin-Lehner |
2- 3+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
12078r |
Isogeny class |
Conductor |
12078 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-1122384384 = -1 · 29 · 33 · 113 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 3 2 11- -1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,259,-187] |
[a1,a2,a3,a4,a6] |
j |
71421719949/41569792 |
j-invariant |
L |
5.4868084390842 |
L(r)(E,1)/r! |
Ω |
0.91446807318069 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
96624w1 12078b2 |
Quadratic twists by: -4 -3 |