Atkin-Lehner |
2- 3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19152bd |
Isogeny class |
Conductor |
19152 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
212403110873038848 = 215 · 39 · 7 · 196 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 0 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-190755,-23165406] |
[a1,a2,a3,a4,a6] |
j |
9521387989875/2634569336 |
j-invariant |
L |
1.8656783703771 |
L(r)(E,1)/r! |
Ω |
0.23320979629713 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2394a4 76608db4 19152bc2 |
Quadratic twists by: -4 8 -3 |