Atkin-Lehner |
2- 5- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
101200cf |
Isogeny class |
Conductor |
101200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
218880 |
Modular degree for the optimal curve |
Δ |
8096000000000 = 214 · 59 · 11 · 23 |
Discriminant |
Eigenvalues |
2- -2 5- 4 11+ -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9208,-314412] |
[a1,a2,a3,a4,a6] |
Generators |
[742:20048:1] |
Generators of the group modulo torsion |
j |
10793861/1012 |
j-invariant |
L |
4.8518023199069 |
L(r)(E,1)/r! |
Ω |
0.49029432259948 |
Real period |
R |
4.9478467168892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022961 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12650o1 101200ci1 |
Quadratic twists by: -4 5 |