Atkin-Lehner |
3+ 5+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
48675d |
Isogeny class |
Conductor |
48675 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3365419921875 = -1 · 32 · 510 · 11 · 592 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 11+ 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-838,88406] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:322:1] |
Generators of the group modulo torsion |
j |
-4165509529/215386875 |
j-invariant |
L |
2.8713378230159 |
L(r)(E,1)/r! |
Ω |
0.65762354820306 |
Real period |
R |
1.0915583204425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999166 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9735g2 |
Quadratic twists by: 5 |