Atkin-Lehner |
2- 3- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
116550fu |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-2497969530000 = -1 · 24 · 39 · 54 · 73 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 5 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2480,-89053] |
[a1,a2,a3,a4,a6] |
j |
-3700897225/5482512 |
j-invariant |
L |
7.7102532221546 |
L(r)(E,1)/r! |
Ω |
0.32126057437577 |
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 |
38850bs1 116550bf1 |
Quadratic twists by: -3 5 |