Atkin-Lehner |
2- 3- 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
116610cm |
Isogeny class |
Conductor |
116610 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
36480 |
Modular degree for the optimal curve |
Δ |
-5597280 = -1 · 25 · 32 · 5 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 4 13+ 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-36,-144] |
[a1,a2,a3,a4,a6] |
j |
-30584281/33120 |
j-invariant |
L |
9.344786935012 |
L(r)(E,1)/r! |
Ω |
0.93447870886477 |
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 |
116610bj1 |
Quadratic twists by: 13 |