Atkin-Lehner |
2- 11- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
128986bd |
Isogeny class |
Conductor |
128986 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
705600 |
Modular degree for the optimal curve |
Δ |
-2614507932827648 = -1 · 214 · 116 · 133 · 41 |
Discriminant |
Eigenvalues |
2- 1 -2 -2 11- 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-20754,-2717692] |
[a1,a2,a3,a4,a6] |
Generators |
[868:24734:1] |
Generators of the group modulo torsion |
j |
-558051585337/1475821568 |
j-invariant |
L |
8.3794454377817 |
L(r)(E,1)/r! |
Ω |
0.18482119562564 |
Real period |
R |
0.53973951048735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000117895 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1066b1 |
Quadratic twists by: -11 |