Atkin-Lehner |
2- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
48050s |
Isogeny class |
Conductor |
48050 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
48050 = 2 · 52 · 312 |
Discriminant |
Eigenvalues |
2- 0 5+ -1 4 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10,7] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:33:8] |
Generators of the group modulo torsion |
j |
4185/2 |
j-invariant |
L |
8.8564037619175 |
L(r)(E,1)/r! |
Ω |
3.1871156887065 |
Real period |
R |
2.778814648386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48050j1 48050o1 |
Quadratic twists by: 5 -31 |