Atkin-Lehner |
2- 3- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
117648z |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-156131131392 = -1 · 218 · 36 · 19 · 43 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 0 -2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1221,9578] |
[a1,a2,a3,a4,a6] |
Generators |
[79:774:1] |
Generators of the group modulo torsion |
j |
67419143/52288 |
j-invariant |
L |
7.427005184092 |
L(r)(E,1)/r! |
Ω |
0.65797811570139 |
Real period |
R |
2.8219043395227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999785339 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14706v1 13072d1 |
Quadratic twists by: -4 -3 |