Atkin-Lehner |
2- 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
67320bi |
Isogeny class |
Conductor |
67320 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
10608917600160000 = 28 · 38 · 54 · 112 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-260463,50923762] |
[a1,a2,a3,a4,a6] |
Generators |
[-283:10098:1] |
Generators of the group modulo torsion |
j |
10471148863450576/56846480625 |
j-invariant |
L |
4.376298047849 |
L(r)(E,1)/r! |
Ω |
0.40777252666295 |
Real period |
R |
0.67076276625052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000189 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22440j2 |
Quadratic twists by: -3 |