Atkin-Lehner |
2+ 3- 5+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
106950bb |
Isogeny class |
Conductor |
106950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
14501778300 = 22 · 38 · 52 · 23 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -1 -5 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-616,938] |
[a1,a2,a3,a4,a6] |
Generators |
[-202:283:8] [-17:89:1] |
Generators of the group modulo torsion |
j |
1031601522145/580071132 |
j-invariant |
L |
9.9835957845377 |
L(r)(E,1)/r! |
Ω |
1.0785619724473 |
Real period |
R |
0.28926234774532 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999976886 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106950bw1 |
Quadratic twists by: 5 |