Atkin-Lehner |
2+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4624a |
Isogeny class |
Conductor |
4624 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
14286351239168 = 211 · 178 |
Discriminant |
Eigenvalues |
2+ 2 0 0 2 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13968,-604192] |
[a1,a2,a3,a4,a6] |
Generators |
[-1626:3302:27] |
Generators of the group modulo torsion |
j |
6097250/289 |
j-invariant |
L |
5.0281755476659 |
L(r)(E,1)/r! |
Ω |
0.44044057649885 |
Real period |
R |
5.70812025045 |
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 |
2312d2 18496r2 41616o2 115600i2 |
Quadratic twists by: -4 8 -3 5 |