Atkin-Lehner |
2+ 3- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
31218i |
Isogeny class |
Conductor |
31218 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
40033605998149632 = 216 · 36 · 117 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-879552,-317424626] |
[a1,a2,a3,a4,a6] |
j |
42476766863084497/22597926912 |
j-invariant |
L |
1.8708085552591 |
L(r)(E,1)/r! |
Ω |
0.15590071293835 |
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 |
93654bp1 2838e1 |
Quadratic twists by: -3 -11 |