Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20384w |
Isogeny class |
Conductor |
20384 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-15041242058752 = -1 · 212 · 710 · 13 |
Discriminant |
Eigenvalues |
2- 0 2 7- 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,196,-186592] |
[a1,a2,a3,a4,a6] |
Generators |
[17206:2256940:1] |
Generators of the group modulo torsion |
j |
1728/31213 |
j-invariant |
L |
6.0128291606895 |
L(r)(E,1)/r! |
Ω |
0.32325536327368 |
Real period |
R |
4.6502160859732 |
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 |
20384c4 40768bg1 2912e4 |
Quadratic twists by: -4 8 -7 |