Atkin-Lehner |
2+ 5+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
24440b |
Isogeny class |
Conductor |
24440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4480 |
Modular degree for the optimal curve |
Δ |
-3910400 = -1 · 28 · 52 · 13 · 47 |
Discriminant |
Eigenvalues |
2+ -1 5+ -4 -5 13- 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,39,-35] |
[a1,a2,a3,a4,a6] |
Generators |
[1:2:1] [3:10:1] |
Generators of the group modulo torsion |
j |
24974336/15275 |
j-invariant |
L |
5.523930921842 |
L(r)(E,1)/r! |
Ω |
1.4354611064808 |
Real period |
R |
0.48102408495287 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48880d1 122200v1 |
Quadratic twists by: -4 5 |