Atkin-Lehner |
2- 5- 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
67850bb |
Isogeny class |
Conductor |
67850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
264708293750000 = 24 · 58 · 233 · 592 |
Discriminant |
Eigenvalues |
2- -2 5- -1 3 -1 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2361427388,-44168427984608] |
[a1,a2,a3,a4,a6] |
j |
3728099245669822592041988065/677653232 |
j-invariant |
L |
1.5593313362793 |
L(r)(E,1)/r! |
Ω |
0.021657379450283 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67850i2 |
Quadratic twists by: 5 |