Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
119952dm |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
8559190137286656 = 212 · 311 · 74 · 173 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ -2 1 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-77763,-7060606] |
[a1,a2,a3,a4,a6] |
Generators |
[-161:1134:1] |
Generators of the group modulo torsion |
j |
7253758561/1193859 |
j-invariant |
L |
6.5432056965028 |
L(r)(E,1)/r! |
Ω |
0.28908674569693 |
Real period |
R |
0.94308568037218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015972 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7497d1 39984bi1 119952fz1 |
Quadratic twists by: -4 -3 -7 |