Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20384w |
Isogeny class |
Conductor |
20384 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
5481502208 = 29 · 77 · 13 |
Discriminant |
Eigenvalues |
2- 0 2 7- 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-47579,-3994578] |
[a1,a2,a3,a4,a6] |
Generators |
[-8914028264856:-49817351445:70752467456] |
Generators of the group modulo torsion |
j |
197747699976/91 |
j-invariant |
L |
6.0128291606895 |
L(r)(E,1)/r! |
Ω |
0.32325536327368 |
Real period |
R |
18.600864343893 |
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 |
20384c3 40768bg4 2912e3 |
Quadratic twists by: -4 8 -7 |