Atkin-Lehner |
2- 3+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
57408cf |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
64899514368 = 220 · 32 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 6 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-159713,24620673] |
[a1,a2,a3,a4,a6] |
Generators |
[247:424:1] |
Generators of the group modulo torsion |
j |
1718728631061625/247572 |
j-invariant |
L |
5.6061334671778 |
L(r)(E,1)/r! |
Ω |
0.86131425590305 |
Real period |
R |
3.2544065240348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997638 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408y2 14352bi2 |
Quadratic twists by: -4 8 |