Atkin-Lehner |
2+ 3- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
106128q |
Isogeny class |
Conductor |
106128 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-163399762944 = -1 · 210 · 39 · 112 · 67 |
Discriminant |
Eigenvalues |
2+ 3- -1 1 11- -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6483,-201854] |
[a1,a2,a3,a4,a6] |
j |
-40366797124/218889 |
j-invariant |
L |
2.1275250975893 |
L(r)(E,1)/r! |
Ω |
0.26594065764317 |
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 |
53064e1 35376i1 |
Quadratic twists by: -4 -3 |