Atkin-Lehner |
2- 3+ 5+ 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
122670bf |
Isogeny class |
Conductor |
122670 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
18283233613500000 = 25 · 39 · 56 · 292 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3878633,2941089481] |
[a1,a2,a3,a4,a6] |
j |
327844860072726946923/928884500000 |
j-invariant |
L |
6.7397740776485 |
L(r)(E,1)/r! |
Ω |
0.33698870823256 |
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 |
122670e2 |
Quadratic twists by: -3 |