Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
69600bt |
Isogeny class |
Conductor |
69600 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-25545375000000000 = -1 · 29 · 35 · 512 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 -4 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,34592,7291688] |
[a1,a2,a3,a4,a6] |
j |
572200439608/3193171875 |
j-invariant |
L |
5.442298536499 |
L(r)(E,1)/r! |
Ω |
0.27211492631774 |
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 |
69600bh2 13920c2 |
Quadratic twists by: -4 5 |