Atkin-Lehner |
2- 3- 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116610cp |
Isogeny class |
Conductor |
116610 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
121344 |
Modular degree for the optimal curve |
Δ |
43099405830 = 2 · 38 · 5 · 134 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -2 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1440,-18630] |
[a1,a2,a3,a4,a6] |
j |
11562630001/1509030 |
j-invariant |
L |
6.2534546144987 |
L(r)(E,1)/r! |
Ω |
0.78168199344692 |
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 |
116610bb1 |
Quadratic twists by: 13 |