Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21840cj |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-196245504000000 = -1 · 217 · 34 · 56 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 13+ -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,14240,-158092] |
[a1,a2,a3,a4,a6] |
Generators |
[26:480:1] |
Generators of the group modulo torsion |
j |
77958456780959/47911500000 |
j-invariant |
L |
7.0017271361535 |
L(r)(E,1)/r! |
Ω |
0.3271272236864 |
Real period |
R |
0.4459100459226 |
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 |
2730u2 87360et2 65520cz2 109200dh2 |
Quadratic twists by: -4 8 -3 5 |