Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600gf |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
59535000000 = 26 · 35 · 57 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1984508,1075376238] |
[a1,a2,a3,a4,a6] |
Generators |
[817:198:1] |
Generators of the group modulo torsion |
j |
864335783029582144/59535 |
j-invariant |
L |
6.3696476988734 |
L(r)(E,1)/r! |
Ω |
0.61353743244004 |
Real period |
R |
2.0763680786487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600fd1 16800bf3 100800mh1 6720bu1 |
Quadratic twists by: -4 8 -3 5 |