Atkin-Lehner |
2- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
17200bg |
Isogeny class |
Conductor |
17200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
19440 |
Modular degree for the optimal curve |
Δ |
-68800000000 = -1 · 212 · 58 · 43 |
Discriminant |
Eigenvalues |
2- 2 5- -4 -1 -5 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1333,23037] |
[a1,a2,a3,a4,a6] |
j |
-163840/43 |
j-invariant |
L |
1.0437252574655 |
L(r)(E,1)/r! |
Ω |
1.0437252574655 |
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 |
1075f1 68800ed1 17200p1 |
Quadratic twists by: -4 8 5 |