Atkin-Lehner |
2+ 3- 23+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
45816c |
Isogeny class |
Conductor |
45816 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-8194099968 = -1 · 28 · 36 · 232 · 83 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 4 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,236,-4048] |
[a1,a2,a3,a4,a6] |
j |
5654291888/32008203 |
j-invariant |
L |
3.9410687236756 |
L(r)(E,1)/r! |
Ω |
0.65684478725657 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91632e2 |
Quadratic twists by: -4 |