Atkin-Lehner |
2- 3- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
128502cg |
Isogeny class |
Conductor |
128502 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
2557440 |
Modular degree for the optimal curve |
Δ |
-329698363777744896 = -1 · 230 · 36 · 112 · 592 |
Discriminant |
Eigenvalues |
2- 3- -3 4 11- -5 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,10966,-27625111] |
[a1,a2,a3,a4,a6] |
Generators |
[337:3607:1] |
Generators of the group modulo torsion |
j |
1653456090143/3737695289344 |
j-invariant |
L |
9.5589641864233 |
L(r)(E,1)/r! |
Ω |
0.14140226796794 |
Real period |
R |
0.56334340416679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999865549 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14278c1 128502bc1 |
Quadratic twists by: -3 -11 |