Atkin-Lehner |
2- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
18496j |
Isogeny class |
Conductor |
18496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-528480705039302656 = -1 · 218 · 1710 |
Discriminant |
Eigenvalues |
2- 0 -2 4 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12716,34980560] |
[a1,a2,a3,a4,a6] |
j |
-35937/83521 |
j-invariant |
L |
1.8835614956913 |
L(r)(E,1)/r! |
Ω |
0.23544518696142 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18496c4 4624e4 1088k4 |
Quadratic twists by: -4 8 17 |