Atkin-Lehner |
3- 7- 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
22533d |
Isogeny class |
Conductor |
22533 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
17664 |
Modular degree for the optimal curve |
Δ |
-34622112231 = -1 · 33 · 72 · 294 · 37 |
Discriminant |
Eigenvalues |
1 3- -2 7- -2 0 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1942,-34285] |
[a1,a2,a3,a4,a6] |
j |
-809375170660057/34622112231 |
j-invariant |
L |
2.1522843783704 |
L(r)(E,1)/r! |
Ω |
0.35871406306173 |
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 |
67599e1 |
Quadratic twists by: -3 |