Atkin-Lehner |
2- 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240ft |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-880066296000 = -1 · 26 · 314 · 53 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 2 6 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3612,94966] |
[a1,a2,a3,a4,a6] |
j |
-111701610496/18862875 |
j-invariant |
L |
5.1279114288399 |
L(r)(E,1)/r! |
Ω |
0.85465190454995 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66240dh1 16560bo1 22080cu1 |
Quadratic twists by: -4 8 -3 |