Atkin-Lehner |
2- 3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
30096bb |
Isogeny class |
Conductor |
30096 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
54768400830038016 = 218 · 314 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 3- 2 4 11+ -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-99939,-4593310] |
[a1,a2,a3,a4,a6] |
j |
36969300595297/18341826624 |
j-invariant |
L |
4.5213840624151 |
L(r)(E,1)/r! |
Ω |
0.28258650390086 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3762h2 120384dk2 10032l2 |
Quadratic twists by: -4 8 -3 |