Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
119952gr |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
9021963810384 = 24 · 39 · 73 · 174 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -2 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6636,149695] |
[a1,a2,a3,a4,a6] |
Generators |
[113:918:1] |
Generators of the group modulo torsion |
j |
8077950976/2255067 |
j-invariant |
L |
4.4975345705458 |
L(r)(E,1)/r! |
Ω |
0.68120983542162 |
Real period |
R |
0.82528435934346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999771223 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29988bm1 39984de1 119952fb1 |
Quadratic twists by: -4 -3 -7 |