Atkin-Lehner |
2- 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
17100k |
Isogeny class |
Conductor |
17100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-37397700000000 = -1 · 28 · 39 · 58 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 5 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3375,303750] |
[a1,a2,a3,a4,a6] |
j |
-2160/19 |
j-invariant |
L |
3.3327145137778 |
L(r)(E,1)/r! |
Ω |
0.55545241896296 |
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 |
68400dy1 17100l1 17100e1 |
Quadratic twists by: -4 -3 5 |