Atkin-Lehner |
2- 5+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
44080j |
Isogeny class |
Conductor |
44080 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-7956440000000000 = -1 · 212 · 510 · 193 · 29 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 0 -4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,49637,547338] |
[a1,a2,a3,a4,a6] |
Generators |
[53:1824:1] |
Generators of the group modulo torsion |
j |
3302024872982031/1942490234375 |
j-invariant |
L |
3.3184570824918 |
L(r)(E,1)/r! |
Ω |
0.25233742000926 |
Real period |
R |
2.1918119809404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999891 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2755a1 |
Quadratic twists by: -4 |