Atkin-Lehner |
2- 3- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
110544de |
Isogeny class |
Conductor |
110544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
137088 |
Modular degree for the optimal curve |
Δ |
6658760220672 = 213 · 3 · 78 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 0 3 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6288,144276] |
[a1,a2,a3,a4,a6] |
j |
1164625/282 |
j-invariant |
L |
2.8164856045129 |
L(r)(E,1)/r! |
Ω |
0.70412148263168 |
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 |
13818j1 110544by1 |
Quadratic twists by: -4 -7 |