Atkin-Lehner |
2+ 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
27720t |
Isogeny class |
Conductor |
27720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
41587817040 = 24 · 39 · 5 · 74 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4602,119761] |
[a1,a2,a3,a4,a6] |
j |
924093773824/3565485 |
j-invariant |
L |
2.2999330239982 |
L(r)(E,1)/r! |
Ω |
1.1499665119992 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
55440bg1 9240be1 |
Quadratic twists by: -4 -3 |