Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610cf |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
264 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-333193824000000 = -1 · 211 · 39 · 56 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -3 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7862,920261] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:-1061:1] |
Generators of the group modulo torsion |
j |
-139343861641/864000000 |
j-invariant |
L |
9.4589062801701 |
L(r)(E,1)/r! |
Ω |
0.46678351605471 |
Real period |
R |
0.076757617231091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15870k1 47610bt1 |
Quadratic twists by: -3 -23 |