Atkin-Lehner |
2- 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
12720bf |
Isogeny class |
Conductor |
12720 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
21472330383360 = 221 · 36 · 5 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -2 6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-217976,-39242796] |
[a1,a2,a3,a4,a6] |
j |
279635170382084089/5242268160 |
j-invariant |
L |
1.3257112992188 |
L(r)(E,1)/r! |
Ω |
0.22095188320313 |
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 |
1590d2 50880ct2 38160ca2 63600bn2 |
Quadratic twists by: -4 8 -3 5 |