Atkin-Lehner |
2+ 3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
72384bn |
Isogeny class |
Conductor |
72384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
412706930688 = 222 · 32 · 13 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 4 -4 -4 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-70881,7239807] |
[a1,a2,a3,a4,a6] |
j |
150237872612281/1574352 |
j-invariant |
L |
1.7112672498016 |
L(r)(E,1)/r! |
Ω |
0.85563361546903 |
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 |
72384cr2 2262a2 |
Quadratic twists by: -4 8 |