Atkin-Lehner |
2+ 3- 5- 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
108630f |
Isogeny class |
Conductor |
108630 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
11966680800 = 25 · 36 · 52 · 172 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- -5 0 -5 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-639,-3155] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:47:1] |
Generators of the group modulo torsion |
j |
39616946929/16415200 |
j-invariant |
L |
3.887166060335 |
L(r)(E,1)/r! |
Ω |
0.98488488267289 |
Real period |
R |
0.9867056783352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000091006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12070a1 |
Quadratic twists by: -3 |