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 |
-136852917816984000 = -1 · 26 · 3 · 53 · 232 · 476 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,78251,-15671584] |
[a1,a2,a3,a4,a6] |
Generators |
[13423830:149768501:74088] |
Generators of the group modulo torsion |
j |
52990910177970345911/136852917816984000 |
j-invariant |
L |
4.5572835538191 |
L(r)(E,1)/r! |
Ω |
0.16894394079373 |
Real period |
R |
13.487561413591 |
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 |
97290bn4 |
Quadratic twists by: -3 |