Atkin-Lehner |
2- 3+ 5+ 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
32430u |
Isogeny class |
Conductor |
32430 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
9465344100 = 22 · 34 · 52 · 232 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-736,5789] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:695:8] |
Generators of the group modulo torsion |
j |
44095475916289/9465344100 |
j-invariant |
L |
5.8533936437555 |
L(r)(E,1)/r! |
Ω |
1.2231632751539 |
Real period |
R |
2.3927278404509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
97290o2 |
Quadratic twists by: -3 |