Atkin-Lehner |
2- 3- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
83148j |
Isogeny class |
Conductor |
83148 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
653184 |
Modular degree for the optimal curve |
Δ |
3005230286313216 = 28 · 33 · 139 · 41 |
Discriminant |
Eigenvalues |
2- 3- -1 -2 5 13+ 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-185956,-30813964] |
[a1,a2,a3,a4,a6] |
j |
575514878416/2432079 |
j-invariant |
L |
2.7595513005672 |
L(r)(E,1)/r! |
Ω |
0.22996260754439 |
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 |
6396b1 |
Quadratic twists by: 13 |