Atkin-Lehner |
3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
22743h |
Isogeny class |
Conductor |
22743 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
-49738941 = -1 · 39 · 7 · 192 |
Discriminant |
Eigenvalues |
1 3+ -3 7- 1 -6 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-96,521] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:31:1] |
Generators of the group modulo torsion |
j |
-13851/7 |
j-invariant |
L |
4.2298446717215 |
L(r)(E,1)/r! |
Ω |
1.8679265858531 |
Real period |
R |
1.1322299023303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22743j1 22743f1 |
Quadratic twists by: -3 -19 |