Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600hh |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-56448000000000 = -1 · 216 · 32 · 59 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7167,-273537] |
[a1,a2,a3,a4,a6] |
Generators |
[87:1008:1] |
Generators of the group modulo torsion |
j |
318028/441 |
j-invariant |
L |
7.2204393737077 |
L(r)(E,1)/r! |
Ω |
0.33371041479101 |
Real period |
R |
2.7046051957314 |
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 |
33600bk2 8400n2 100800pp2 33600fj2 |
Quadratic twists by: -4 8 -3 5 |