Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240fz |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-1738402560000000 = -1 · 214 · 310 · 57 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 2 2 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30432,2863456] |
[a1,a2,a3,a4,a6] |
Generators |
[137:1125:1] |
Generators of the group modulo torsion |
j |
-260956266496/145546875 |
j-invariant |
L |
8.6759269088452 |
L(r)(E,1)/r! |
Ω |
0.43785543541536 |
Real period |
R |
1.4153280163978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000679 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66240cp1 16560bq1 22080cn1 |
Quadratic twists by: -4 8 -3 |