Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
83300j |
Isogeny class |
Conductor |
83300 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-3699261036800 = -1 · 28 · 52 · 76 · 173 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 0 -1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9228,350468] |
[a1,a2,a3,a4,a6] |
Generators |
[52:118:1] |
Generators of the group modulo torsion |
j |
-115431760/4913 |
j-invariant |
L |
7.1751307434319 |
L(r)(E,1)/r! |
Ω |
0.78069552052615 |
Real period |
R |
3.0635634309647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001709 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83300bk2 1700b2 |
Quadratic twists by: 5 -7 |