Atkin-Lehner |
2+ 3- 5+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
100650z |
Isogeny class |
Conductor |
100650 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1324800 |
Modular degree for the optimal curve |
Δ |
73680832500000000 = 28 · 3 · 510 · 115 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 11- 4 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-165326,22322048] |
[a1,a2,a3,a4,a6] |
j |
51173293321825/7544917248 |
j-invariant |
L |
3.3108019044904 |
L(r)(E,1)/r! |
Ω |
0.33108018910041 |
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 |
100650cb1 |
Quadratic twists by: 5 |