Atkin-Lehner |
2+ 3- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
117648i |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-79481113961472 = -1 · 210 · 36 · 195 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 2 1 0 2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34419,-2494942] |
[a1,a2,a3,a4,a6] |
j |
-6040751523268/106472257 |
j-invariant |
L |
3.5014319597124 |
L(r)(E,1)/r! |
Ω |
0.17507162111129 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58824b1 13072c1 |
Quadratic twists by: -4 -3 |