Atkin-Lehner |
2- 3- 5+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17670s |
Isogeny class |
Conductor |
17670 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
3480848640 = 28 · 35 · 5 · 192 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-886,-9820] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:26:1] |
Generators of the group modulo torsion |
j |
76922876001889/3480848640 |
j-invariant |
L |
8.1068047893503 |
L(r)(E,1)/r! |
Ω |
0.87751190873569 |
Real period |
R |
0.46191993001158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53010s1 88350a1 |
Quadratic twists by: -3 5 |