Atkin-Lehner |
2- 3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
30096bb |
Isogeny class |
Conductor |
30096 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
214913563304951808 = 215 · 322 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 4 11+ -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1303779,-572565022] |
[a1,a2,a3,a4,a6] |
j |
82082047379525857/71974117512 |
j-invariant |
L |
4.5213840624151 |
L(r)(E,1)/r! |
Ω |
0.14129325195043 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3762h3 120384dk4 10032l3 |
Quadratic twists by: -4 8 -3 |