Atkin-Lehner |
2- 3- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
62622bz |
Isogeny class |
Conductor |
62622 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-3356011504570284 = -1 · 22 · 315 · 77 · 71 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -1 -3 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-94163,11489055] |
[a1,a2,a3,a4,a6] |
j |
-1076575468249/39129804 |
j-invariant |
L |
3.5488609506904 |
L(r)(E,1)/r! |
Ω |
0.4436076187093 |
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 |
20874h1 8946q1 |
Quadratic twists by: -3 -7 |