Atkin-Lehner |
3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5355f |
Isogeny class |
Conductor |
5355 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-675094757080078125 = -1 · 37 · 516 · 7 · 172 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,218070,5083101] |
[a1,a2,a3,a4,a6] |
Generators |
[-1748604:217298229:140608] |
Generators of the group modulo torsion |
j |
1573196002879828319/926055908203125 |
j-invariant |
L |
4.5201846778128 |
L(r)(E,1)/r! |
Ω |
0.17434242946742 |
Real period |
R |
12.963524403156 |
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 |
85680ds5 1785o6 26775bf5 37485br5 |
Quadratic twists by: -4 -3 5 -7 |