Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600df |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-362880000 = -1 · 210 · 34 · 54 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 1 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,167,-337] |
[a1,a2,a3,a4,a6] |
Generators |
[2:3:1] |
Generators of the group modulo torsion |
j |
800000/567 |
j-invariant |
L |
6.8222088224253 |
L(r)(E,1)/r! |
Ω |
0.95757037751514 |
Real period |
R |
1.7811246521975 |
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 |
33600ft1 2100f1 100800gg1 33600p1 |
Quadratic twists by: -4 8 -3 5 |