Atkin-Lehner |
2+ 3- 5+ 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
114570h |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
2757434358819600 = 24 · 37 · 52 · 196 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 4 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-83250,-8872700] |
[a1,a2,a3,a4,a6] |
j |
87528975409332001/3782488832400 |
j-invariant |
L |
1.1272524324231 |
L(r)(E,1)/r! |
Ω |
0.28181327301923 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38190x1 |
Quadratic twists by: -3 |