Atkin-Lehner |
2+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
48050h |
Isogeny class |
Conductor |
48050 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
4617605000 = 23 · 54 · 314 |
Discriminant |
Eigenvalues |
2+ 2 5- 3 2 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-500,2600] |
[a1,a2,a3,a4,a6] |
j |
24025/8 |
j-invariant |
L |
3.7999955518171 |
L(r)(E,1)/r! |
Ω |
1.2666651841061 |
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 |
48050r1 48050n1 |
Quadratic twists by: 5 -31 |