Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600em |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
188116992000000 = 218 · 38 · 56 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-62433,-5947263] |
[a1,a2,a3,a4,a6] |
j |
6570725617/45927 |
j-invariant |
L |
2.4172321169871 |
L(r)(E,1)/r! |
Ω |
0.30215401462408 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600dd3 8400cd3 100800me3 1344r3 |
Quadratic twists by: -4 8 -3 5 |