Atkin-Lehner |
2+ 3- 23+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
19458a |
Isogeny class |
Conductor |
19458 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
692190770075136 = 29 · 37 · 234 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 6 -4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-69066,-6853388] |
[a1,a2,a3,a4,a6] |
j |
49979583628322977/949507229184 |
j-invariant |
L |
1.1793542580378 |
L(r)(E,1)/r! |
Ω |
0.29483856450945 |
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 |
6486o2 |
Quadratic twists by: -3 |