Atkin-Lehner |
2+ 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
112632k |
Isogeny class |
Conductor |
112632 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-321278955918336 = -1 · 210 · 33 · 13 · 197 |
Discriminant |
Eigenvalues |
2+ 3- -3 -5 2 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-531512,-149327904] |
[a1,a2,a3,a4,a6] |
j |
-344700718852/6669 |
j-invariant |
L |
1.0608948959407 |
L(r)(E,1)/r! |
Ω |
0.088407827449309 |
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 |
5928l1 |
Quadratic twists by: -19 |