Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
64680cy |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-257248627402905600 = -1 · 211 · 3 · 52 · 712 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-301856,-68439456] |
[a1,a2,a3,a4,a6] |
Generators |
[10289875313835:611265730457634:2845178713] |
Generators of the group modulo torsion |
j |
-12624273557282/1067664675 |
j-invariant |
L |
7.2673348240032 |
L(r)(E,1)/r! |
Ω |
0.10135029815916 |
Real period |
R |
17.926278846927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999893 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360p2 9240t2 |
Quadratic twists by: -4 -7 |