Atkin-Lehner |
2- 3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
120384dd |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
12147031069949952 = 228 · 39 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 3- -4 0 11+ -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-738732,244329680] |
[a1,a2,a3,a4,a6] |
j |
233301213501481/63562752 |
j-invariant |
L |
1.567078289221 |
L(r)(E,1)/r! |
Ω |
0.39176961806719 |
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 |
120384bo1 30096bi1 40128bp1 |
Quadratic twists by: -4 8 -3 |