Atkin-Lehner |
2+ 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240cm |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
852976189440000 = 217 · 39 · 54 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -2 -2 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34572,2036464] |
[a1,a2,a3,a4,a6] |
Generators |
[-162:1840:1] |
Generators of the group modulo torsion |
j |
47825527682/8926875 |
j-invariant |
L |
7.4579468240542 |
L(r)(E,1)/r! |
Ω |
0.47564915930587 |
Real period |
R |
0.97996951619335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995846 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240fy2 8280e2 22080bf2 |
Quadratic twists by: -4 8 -3 |