Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53856bf |
Isogeny class |
Conductor |
53856 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-9514987688448 = -1 · 29 · 312 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11- 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15051,726046] |
[a1,a2,a3,a4,a6] |
Generators |
[45:374:1] |
Generators of the group modulo torsion |
j |
-1010234719304/25492401 |
j-invariant |
L |
6.1968736224599 |
L(r)(E,1)/r! |
Ω |
0.72648087959817 |
Real period |
R |
1.0662485752311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53856l2 107712bl2 17952e2 |
Quadratic twists by: -4 8 -3 |