Atkin-Lehner |
2- 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
21350s |
Isogeny class |
Conductor |
21350 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
1127008189146875000 = 23 · 58 · 7 · 616 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 0 -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-598563,-171017719] |
[a1,a2,a3,a4,a6] |
Generators |
[7065:586642:1] |
Generators of the group modulo torsion |
j |
1517865654542204521/72128524105400 |
j-invariant |
L |
10.617699574879 |
L(r)(E,1)/r! |
Ω |
0.17214696226361 |
Real period |
R |
3.4265617635537 |
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 |
4270d4 |
Quadratic twists by: 5 |