Atkin-Lehner |
2- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4624f |
Isogeny class |
Conductor |
4624 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1942943768526848 = 214 · 179 |
Discriminant |
Eigenvalues |
2- -2 0 -4 6 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-476368,126373524] |
[a1,a2,a3,a4,a6] |
j |
120920208625/19652 |
j-invariant |
L |
0.90425772548244 |
L(r)(E,1)/r! |
Ω |
0.45212886274122 |
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 |
578a3 18496n3 41616ca3 115600bz3 |
Quadratic twists by: -4 8 -3 5 |