Atkin-Lehner |
3- 5- 31- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
17205c |
Isogeny class |
Conductor |
17205 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
2150625 = 3 · 54 · 31 · 37 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-80,-273] |
[a1,a2,a3,a4,a6] |
j |
56667352321/2150625 |
j-invariant |
L |
1.5999719741187 |
L(r)(E,1)/r! |
Ω |
1.5999719741187 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51615c1 86025c1 |
Quadratic twists by: -3 5 |