Atkin-Lehner |
2- 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22320z |
Isogeny class |
Conductor |
22320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-26206730799022080 = -1 · 233 · 39 · 5 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 3 -4 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-102627,14859234] |
[a1,a2,a3,a4,a6] |
Generators |
[17805:221184:125] |
Generators of the group modulo torsion |
j |
-1482713947827/325058560 |
j-invariant |
L |
6.1957813322556 |
L(r)(E,1)/r! |
Ω |
0.35959151962383 |
Real period |
R |
2.1537567608439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2790f2 89280dc2 22320t1 111600cj2 |
Quadratic twists by: -4 8 -3 5 |