Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86700z |
Isogeny class |
Conductor |
86700 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-977571544500000000 = -1 · 28 · 34 · 59 · 176 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 4 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,84292,46599912] |
[a1,a2,a3,a4,a6] |
Generators |
[-2846866:-23523147:10648] |
Generators of the group modulo torsion |
j |
5488/81 |
j-invariant |
L |
4.7185431947346 |
L(r)(E,1)/r! |
Ω |
0.20646122910322 |
Real period |
R |
11.427189549798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999990338 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86700cb2 300c2 |
Quadratic twists by: 5 17 |