Atkin-Lehner |
5- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
17575f |
Isogeny class |
Conductor |
17575 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3440 |
Modular degree for the optimal curve |
Δ |
-1373046875 = -1 · 59 · 19 · 37 |
Discriminant |
Eigenvalues |
0 0 5- 2 -1 0 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-250,-2344] |
[a1,a2,a3,a4,a6] |
j |
-884736/703 |
j-invariant |
L |
1.1610952364395 |
L(r)(E,1)/r! |
Ω |
0.58054761821973 |
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 |
17575e1 |
Quadratic twists by: 5 |