Atkin-Lehner |
2+ 23- 89- |
Signs for the Atkin-Lehner involutions |
Class |
94162g |
Isogeny class |
Conductor |
94162 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
12220124397568 = 215 · 232 · 893 |
Discriminant |
Eigenvalues |
2+ 1 0 4 0 2 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7406,-179168] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:139:1] |
Generators of the group modulo torsion |
j |
84905312391625/23100424192 |
j-invariant |
L |
6.9785063283806 |
L(r)(E,1)/r! |
Ω |
0.52515330222107 |
Real period |
R |
4.429504241181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999856779 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94162b2 |
Quadratic twists by: -23 |