Atkin-Lehner |
2+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
9400b |
Isogeny class |
Conductor |
9400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7104 |
Modular degree for the optimal curve |
Δ |
-3322336000 = -1 · 28 · 53 · 473 |
Discriminant |
Eigenvalues |
2+ 2 5- -4 2 1 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2593,-50043] |
[a1,a2,a3,a4,a6] |
j |
-60276601856/103823 |
j-invariant |
L |
2.6757782942787 |
L(r)(E,1)/r! |
Ω |
0.33447228678483 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18800n1 75200bm1 84600ch1 9400o1 |
Quadratic twists by: -4 8 -3 5 |