Atkin-Lehner |
2- 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
17040s |
Isogeny class |
Conductor |
17040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-588902400 = -1 · 212 · 34 · 52 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 0 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-216,1620] |
[a1,a2,a3,a4,a6] |
Generators |
[6:24:1] |
Generators of the group modulo torsion |
j |
-273359449/143775 |
j-invariant |
L |
6.0972564499597 |
L(r)(E,1)/r! |
Ω |
1.5182577940362 |
Real period |
R |
0.50199449608541 |
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 |
1065a1 68160ci1 51120bo1 85200br1 |
Quadratic twists by: -4 8 -3 5 |