Atkin-Lehner |
2- 3+ 5- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
117300p |
Isogeny class |
Conductor |
117300 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-4013969343750000 = -1 · 24 · 33 · 59 · 17 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 -3 4 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,35542,1613037] |
[a1,a2,a3,a4,a6] |
j |
158886522112/128447019 |
j-invariant |
L |
1.1347621340178 |
L(r)(E,1)/r! |
Ω |
0.28369052327742 |
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 |
117300bh1 |
Quadratic twists by: 5 |