Atkin-Lehner |
2- 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
62622ch |
Isogeny class |
Conductor |
62622 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-1797114508308 = -1 · 22 · 317 · 72 · 71 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 4 -4 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7160,-240145] |
[a1,a2,a3,a4,a6] |
Generators |
[39444:949087:64] |
Generators of the group modulo torsion |
j |
-1136271999625/50309748 |
j-invariant |
L |
10.670102755969 |
L(r)(E,1)/r! |
Ω |
0.25883520556936 |
Real period |
R |
5.1529421649058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996679 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20874l1 62622bu1 |
Quadratic twists by: -3 -7 |