Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240fv |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-309049344000 = -1 · 214 · 38 · 53 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 0 4 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,528,26336] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:45:1] |
Generators of the group modulo torsion |
j |
1362944/25875 |
j-invariant |
L |
7.3065561566758 |
L(r)(E,1)/r! |
Ω |
0.72272504358909 |
Real period |
R |
1.6849552540824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999475 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66240cj1 16560l1 22080bt1 |
Quadratic twists by: -4 8 -3 |