Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240ep |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-111257763840 = -1 · 214 · 310 · 5 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 6 2 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7248,238048] |
[a1,a2,a3,a4,a6] |
Generators |
[41:99:1] |
Generators of the group modulo torsion |
j |
-3525581824/9315 |
j-invariant |
L |
5.1055024560153 |
L(r)(E,1)/r! |
Ω |
1.0576955810334 |
Real period |
R |
2.4135027823884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001032 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66240cb1 16560t1 22080db1 |
Quadratic twists by: -4 8 -3 |