Atkin-Lehner |
2+ 3- 7- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
22386n |
Isogeny class |
Conductor |
22386 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
235872 |
Modular degree for the optimal curve |
Δ |
-198884536470802728 = -1 · 23 · 321 · 73 · 132 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -3 13- 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,14059,-21445720] |
[a1,a2,a3,a4,a6] |
j |
307348720697576375/198884536470802728 |
j-invariant |
L |
2.077793774768 |
L(r)(E,1)/r! |
Ω |
0.14841384105486 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
67158cc1 |
Quadratic twists by: -3 |