Atkin-Lehner |
2+ 3- 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
24240n |
Isogeny class |
Conductor |
24240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
674311398480 = 24 · 34 · 5 · 1014 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3535,69428] |
[a1,a2,a3,a4,a6] |
j |
305418144004096/42144462405 |
j-invariant |
L |
3.4905177483955 |
L(r)(E,1)/r! |
Ω |
0.87262943709888 |
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 |
12120e1 96960bt1 72720e1 121200i1 |
Quadratic twists by: -4 8 -3 5 |