Atkin-Lehner |
2+ 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
116800v |
Isogeny class |
Conductor |
116800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-299008000 = -1 · 215 · 53 · 73 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 4 0 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-620,-6000] |
[a1,a2,a3,a4,a6] |
j |
-6434856/73 |
j-invariant |
L |
3.8244420018378 |
L(r)(E,1)/r! |
Ω |
0.47805528798981 |
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 |
116800w1 58400c1 116800bc1 |
Quadratic twists by: -4 8 5 |