Atkin-Lehner |
2+ 3- 41+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
84624b |
Isogeny class |
Conductor |
84624 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-7800632510220288 = -1 · 211 · 36 · 414 · 432 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-650504,-202202028] |
[a1,a2,a3,a4,a6] |
j |
-14864295885204325394/3808902592881 |
j-invariant |
L |
1.0086292453829 |
L(r)(E,1)/r! |
Ω |
0.084052441770754 |
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 |
42312b2 |
Quadratic twists by: -4 |