Atkin-Lehner |
3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
22743p |
Isogeny class |
Conductor |
22743 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
862109794498113 = 39 · 72 · 197 |
Discriminant |
Eigenvalues |
-1 3- 0 7- 2 0 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-42305,-3026032] |
[a1,a2,a3,a4,a6] |
j |
244140625/25137 |
j-invariant |
L |
1.3404160688344 |
L(r)(E,1)/r! |
Ω |
0.3351040172086 |
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 |
7581f1 1197e1 |
Quadratic twists by: -3 -19 |