Atkin-Lehner |
2- 3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
38160bb |
Isogeny class |
Conductor |
38160 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
66764736000000 = 212 · 39 · 56 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-120987,16193034] |
[a1,a2,a3,a4,a6] |
Generators |
[63:2970:1] |
Generators of the group modulo torsion |
j |
2429341649307/828125 |
j-invariant |
L |
6.3564055979485 |
L(r)(E,1)/r! |
Ω |
0.60671036803938 |
Real period |
R |
1.7461394906023 |
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 |
2385c2 38160v2 |
Quadratic twists by: -4 -3 |