Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
27720bi |
Isogeny class |
Conductor |
27720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
523886721790924800 = 211 · 318 · 52 · 74 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-212763,-14634538] |
[a1,a2,a3,a4,a6] |
j |
713435223679922/350897206275 |
j-invariant |
L |
1.869773813222 |
L(r)(E,1)/r! |
Ω |
0.2337217266528 |
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 |
55440k3 9240i4 |
Quadratic twists by: -4 -3 |