Atkin-Lehner |
2+ 5+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
106600c |
Isogeny class |
Conductor |
106600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1262400 |
Modular degree for the optimal curve |
Δ |
38057532500000000 = 28 · 510 · 135 · 41 |
Discriminant |
Eigenvalues |
2+ 2 5+ 3 -3 13+ -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-310833,66142037] |
[a1,a2,a3,a4,a6] |
j |
1328514995200/15223013 |
j-invariant |
L |
1.4643306651335 |
L(r)(E,1)/r! |
Ω |
0.36608282216374 |
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 |
106600m1 |
Quadratic twists by: 5 |