Atkin-Lehner |
2- 3+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
119952cc |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
903168 |
Modular degree for the optimal curve |
Δ |
177572984049893376 = 226 · 33 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 2 -1 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-213003,31947706] |
[a1,a2,a3,a4,a6] |
Generators |
[23:5202:1] |
Generators of the group modulo torsion |
j |
1676381427/278528 |
j-invariant |
L |
5.9869405454252 |
L(r)(E,1)/r! |
Ω |
0.30629654281637 |
Real period |
R |
4.8865557696979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999854245 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14994bn1 119952bv1 119952cj1 |
Quadratic twists by: -4 -3 -7 |