Atkin-Lehner |
2+ 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
48160f |
Isogeny class |
Conductor |
48160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-12950801920000 = -1 · 212 · 54 · 76 · 43 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ -1 5 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1206152,509860304] |
[a1,a2,a3,a4,a6] |
Generators |
[673:1715:1] |
Generators of the group modulo torsion |
j |
-47377254305064162816/3161816875 |
j-invariant |
L |
6.2580224049612 |
L(r)(E,1)/r! |
Ω |
0.53721274373099 |
Real period |
R |
0.7280661244041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48160k1 96320a1 |
Quadratic twists by: -4 8 |