Atkin-Lehner |
2- 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
38160bf |
Isogeny class |
Conductor |
38160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
19084288514826240 = 213 · 310 · 5 · 534 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-83523,6491842] |
[a1,a2,a3,a4,a6] |
Generators |
[407:6318:1] |
Generators of the group modulo torsion |
j |
21580151584321/6391289610 |
j-invariant |
L |
4.6881153337368 |
L(r)(E,1)/r! |
Ω |
0.35861815344956 |
Real period |
R |
3.2681804369362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4770f4 12720bh4 |
Quadratic twists by: -4 -3 |