Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600ca |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
5165871876000000000 = 211 · 36 · 59 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11- -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-509208,87023088] |
[a1,a2,a3,a4,a6] |
j |
2060602/729 |
j-invariant |
L |
1.3330739490399 |
L(r)(E,1)/r! |
Ω |
0.22217899651885 |
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 |
72600dc2 600h2 |
Quadratic twists by: 5 -11 |