Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
119952gj |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2101248 |
Modular degree for the optimal curve |
Δ |
-7914428004757929984 = -1 · 231 · 37 · 73 · 173 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -1 -5 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-488523,-188660486] |
[a1,a2,a3,a4,a6] |
Generators |
[959:14994:1] |
Generators of the group modulo torsion |
j |
-12589171852447/7727480832 |
j-invariant |
L |
5.4585933307977 |
L(r)(E,1)/r! |
Ω |
0.087838433558952 |
Real period |
R |
2.5893151667869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023841 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14994cx1 39984da1 119952eq1 |
Quadratic twists by: -4 -3 -7 |