Atkin-Lehner |
2+ 3- 5+ 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
32430k |
Isogeny class |
Conductor |
32430 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1375447104000000 = 212 · 32 · 56 · 23 · 473 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-41749,-2759584] |
[a1,a2,a3,a4,a6] |
Generators |
[2030:12841:8] |
Generators of the group modulo torsion |
j |
8047240682898134089/1375447104000000 |
j-invariant |
L |
4.5572835538191 |
L(r)(E,1)/r! |
Ω |
0.33788788158746 |
Real period |
R |
6.7437807067955 |
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 |
97290bn3 |
Quadratic twists by: -3 |