Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600gi |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
260112384000000 = 222 · 34 · 56 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-134433,-19000737] |
[a1,a2,a3,a4,a6] |
Generators |
[807:19968:1] |
Generators of the group modulo torsion |
j |
65597103937/63504 |
j-invariant |
L |
6.6425376509506 |
L(r)(E,1)/r! |
Ω |
0.24934350184984 |
Real period |
R |
3.330013416066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33600ba2 8400bl2 100800lz2 1344m2 |
Quadratic twists by: -4 8 -3 5 |