Atkin-Lehner |
2- 3+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
58608z |
Isogeny class |
Conductor |
58608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-52167508272 = -1 · 24 · 39 · 112 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,756,-7533] |
[a1,a2,a3,a4,a6] |
j |
151732224/165649 |
j-invariant |
L |
4.8553266837328 |
L(r)(E,1)/r! |
Ω |
0.6069158356555 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14652a1 58608w1 |
Quadratic twists by: -4 -3 |