Atkin-Lehner |
2+ 3+ 5+ 23+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
32430b |
Isogeny class |
Conductor |
32430 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
23093929881616050 = 2 · 34 · 52 · 232 · 476 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-71348,-621642] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:408:1] |
Generators of the group modulo torsion |
j |
40167854381461372489/23093929881616050 |
j-invariant |
L |
4.0873654124929 |
L(r)(E,1)/r! |
Ω |
0.31758995600973 |
Real period |
R |
3.2174863650026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97290br2 |
Quadratic twists by: -3 |