Atkin-Lehner |
2+ 3- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
46176p |
Isogeny class |
Conductor |
46176 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
147764251612224 = 26 · 310 · 134 · 372 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 4 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15514,-464704] |
[a1,a2,a3,a4,a6] |
j |
6452724048960448/2308816431441 |
j-invariant |
L |
4.4046603418439 |
L(r)(E,1)/r! |
Ω |
0.44046603417562 |
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 |
46176u1 92352a2 |
Quadratic twists by: -4 8 |