Atkin-Lehner |
2+ 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16830v |
Isogeny class |
Conductor |
16830 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-65435040 = -1 · 25 · 37 · 5 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 11- 0 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1485,22405] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-7:1] |
Generators of the group modulo torsion |
j |
-496981290961/89760 |
j-invariant |
L |
3.6944302518631 |
L(r)(E,1)/r! |
Ω |
1.9004604257202 |
Real period |
R |
0.48599147367974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5610bc1 84150gb1 |
Quadratic twists by: -3 5 |