Atkin-Lehner |
2- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4624f |
Isogeny class |
Conductor |
4624 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
228581619826688 = 215 · 178 |
Discriminant |
Eigenvalues |
2- -2 0 -4 6 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-198928,-34208748] |
[a1,a2,a3,a4,a6] |
j |
8805624625/2312 |
j-invariant |
L |
0.90425772548244 |
L(r)(E,1)/r! |
Ω |
0.22606443137061 |
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 |
578a2 18496n2 41616ca2 115600bz2 |
Quadratic twists by: -4 8 -3 5 |