Atkin-Lehner |
2- 3- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
10626t |
Isogeny class |
Conductor |
10626 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
21762048 = 212 · 3 · 7 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-132,528] |
[a1,a2,a3,a4,a6] |
j |
254478514753/21762048 |
j-invariant |
L |
6.287749838438 |
L(r)(E,1)/r! |
Ω |
2.0959166128127 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85008bb1 31878m1 74382bj1 116886p1 |
Quadratic twists by: -4 -3 -7 -11 |