Atkin-Lehner |
2+ 5- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
22360c |
Isogeny class |
Conductor |
22360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
-44720 = -1 · 24 · 5 · 13 · 43 |
Discriminant |
Eigenvalues |
2+ 3 5- 4 0 13- 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22,41] |
[a1,a2,a3,a4,a6] |
j |
-73598976/2795 |
j-invariant |
L |
7.1456101261719 |
L(r)(E,1)/r! |
Ω |
3.5728050630859 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44720f1 111800l1 |
Quadratic twists by: -4 5 |