Atkin-Lehner |
23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
22747c |
Isogeny class |
Conductor |
22747 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
37536 |
Modular degree for the optimal curve |
Δ |
-144797011784569 = -1 · 238 · 432 |
Discriminant |
Eigenvalues |
1 0 -1 2 0 -3 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8365,-500558] |
[a1,a2,a3,a4,a6] |
Generators |
[2118:34913:8] |
Generators of the group modulo torsion |
j |
826551/1849 |
j-invariant |
L |
5.3802376588687 |
L(r)(E,1)/r! |
Ω |
0.30090857196559 |
Real period |
R |
2.9799957861642 |
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 |
22747a1 |
Quadratic twists by: -23 |