Atkin-Lehner |
2- 3- 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
19458g |
Isogeny class |
Conductor |
19458 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
121731687955368 = 23 · 37 · 236 · 47 |
Discriminant |
Eigenvalues |
2- 3- 4 0 6 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-51863,4527879] |
[a1,a2,a3,a4,a6] |
j |
21162220619509801/166984482792 |
j-invariant |
L |
7.099163233637 |
L(r)(E,1)/r! |
Ω |
0.59159693613642 |
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 |
6486h2 |
Quadratic twists by: -3 |