Atkin-Lehner |
2- 5- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
104060h |
Isogeny class |
Conductor |
104060 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
40556700285200 = 24 · 52 · 119 · 43 |
Discriminant |
Eigenvalues |
2- 0 5- 1 11+ 0 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9317,-161051] |
[a1,a2,a3,a4,a6] |
Generators |
[363:6655:1] |
Generators of the group modulo torsion |
j |
2370816/1075 |
j-invariant |
L |
7.0510611454046 |
L(r)(E,1)/r! |
Ω |
0.50715489050282 |
Real period |
R |
1.158597580506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999949858 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104060k1 |
Quadratic twists by: -11 |