Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
672g |
Isogeny class |
Conductor |
672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32 |
Modular degree for the optimal curve |
Δ |
-9408 = -1 · 26 · 3 · 72 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 2 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2,-4] |
[a1,a2,a3,a4,a6] |
j |
8000/147 |
j-invariant |
L |
1.9947625015733 |
L(r)(E,1)/r! |
Ω |
1.9947625015733 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
672a1 1344c2 2016f1 16800b1 |
Quadratic twists by: -4 8 -3 5 |