Atkin-Lehner |
2+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
23744b |
Isogeny class |
Conductor |
23744 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
170196992 = 216 · 72 · 53 |
Discriminant |
Eigenvalues |
2+ -2 0 7+ 4 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4513,-118209] |
[a1,a2,a3,a4,a6] |
Generators |
[445:9284:1] |
Generators of the group modulo torsion |
j |
155144366500/2597 |
j-invariant |
L |
3.1973017226648 |
L(r)(E,1)/r! |
Ω |
0.58247278489636 |
Real period |
R |
5.489186457413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23744bf2 2968e2 |
Quadratic twists by: -4 8 |