Atkin-Lehner |
2+ 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
10320d |
Isogeny class |
Conductor |
10320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
69876224640000 = 210 · 310 · 54 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16816,-731120] |
[a1,a2,a3,a4,a6] |
j |
513591322675396/68238500625 |
j-invariant |
L |
0.84585029492855 |
L(r)(E,1)/r! |
Ω |
0.42292514746427 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5160d2 41280dl2 30960q2 51600w2 |
Quadratic twists by: -4 8 -3 5 |