Atkin-Lehner |
2- 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
48160k |
Isogeny class |
Conductor |
48160 |
Conductor |
∏ cp |
48 |
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] |
j |
-47377254305064162816/3161816875 |
j-invariant |
L |
3.457484837905 |
L(r)(E,1)/r! |
Ω |
0.072030934131155 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48160f1 96320i1 |
Quadratic twists by: -4 8 |