Atkin-Lehner |
2+ 3+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
101184b |
Isogeny class |
Conductor |
101184 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10865664 |
Modular degree for the optimal curve |
Δ |
3.6403236695777E+23 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32996989,66942870733] |
[a1,a2,a3,a4,a6] |
Generators |
[43912287628661781998627415387:-19261369342158360778701363254288:228033720214668328261679] |
Generators of the group modulo torsion |
j |
3880133825326557297276928/355500358357194958653 |
j-invariant |
L |
4.4036522160315 |
L(r)(E,1)/r! |
Ω |
0.093029803351067 |
Real period |
R |
47.335929700291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999649689 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101184bd1 12648f1 |
Quadratic twists by: -4 8 |