Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32760bg |
Isogeny class |
Conductor |
32760 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
964752219325440 = 210 · 36 · 5 · 76 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24723,74142] |
[a1,a2,a3,a4,a6] |
j |
2238719766084/1292374265 |
j-invariant |
L |
2.5261189394016 |
L(r)(E,1)/r! |
Ω |
0.42101982323381 |
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 |
65520n1 3640g1 |
Quadratic twists by: -4 -3 |