Atkin-Lehner |
2+ 3+ 7+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
22386b |
Isogeny class |
Conductor |
22386 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
-139465138176 = -1 · 213 · 33 · 7 · 133 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 6 13- 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-987,-21987] |
[a1,a2,a3,a4,a6] |
j |
-106503164422201/139465138176 |
j-invariant |
L |
1.2181100553978 |
L(r)(E,1)/r! |
Ω |
0.40603668513262 |
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 |
67158bt1 |
Quadratic twists by: -3 |