Atkin-Lehner |
2- 3- 5- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
57720bc |
Isogeny class |
Conductor |
57720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
212024041482240 = 211 · 316 · 5 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-104800,-13074592] |
[a1,a2,a3,a4,a6] |
j |
62155813054046402/103527364005 |
j-invariant |
L |
4.245925008337 |
L(r)(E,1)/r! |
Ω |
0.26537031284823 |
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 |
115440r4 |
Quadratic twists by: -4 |