Atkin-Lehner |
2- 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
6192w |
Isogeny class |
Conductor |
6192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
1577746169856 = 224 · 37 · 43 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 4 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3459,-49790] |
[a1,a2,a3,a4,a6] |
j |
1532808577/528384 |
j-invariant |
L |
2.5601115977399 |
L(r)(E,1)/r! |
Ω |
0.64002789943496 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
774b1 24768ce1 2064n1 |
Quadratic twists by: -4 8 -3 |