Atkin-Lehner |
2- 3+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
75072cj |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
50176 |
Modular degree for the optimal curve |
Δ |
5901259776 = 210 · 3 · 174 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -4 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-477,1725] |
[a1,a2,a3,a4,a6] |
j |
11745974272/5762949 |
j-invariant |
L |
2.3920223281569 |
L(r)(E,1)/r! |
Ω |
1.1960111401352 |
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 |
75072bp1 18768e1 |
Quadratic twists by: -4 8 |