Atkin-Lehner |
2- 3+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
62622bo |
Isogeny class |
Conductor |
62622 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
157248 |
Modular degree for the optimal curve |
Δ |
-1847567425536 = -1 · 213 · 33 · 76 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -1 6 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10667,-426373] |
[a1,a2,a3,a4,a6] |
j |
-42253279587/581632 |
j-invariant |
L |
6.1021082239828 |
L(r)(E,1)/r! |
Ω |
0.23469647011956 |
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 |
62622c1 1278f1 |
Quadratic twists by: -3 -7 |