Atkin-Lehner |
2+ 3+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
23064b |
Isogeny class |
Conductor |
23064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
11885449295952 = 24 · 33 · 317 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-268439,53621700] |
[a1,a2,a3,a4,a6] |
j |
150651000832/837 |
j-invariant |
L |
0.31726629782999 |
L(r)(E,1)/r! |
Ω |
0.63453259566008 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
46128m1 69192bj1 744b1 |
Quadratic twists by: -4 -3 -31 |