Atkin-Lehner |
3- 7- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
8547g |
Isogeny class |
Conductor |
8547 |
Conductor |
∏ cp |
57 |
Product of Tamagawa factors cp |
deg |
600096 |
Modular degree for the optimal curve |
Δ |
-162252863054667 = -1 · 319 · 73 · 11 · 37 |
Discriminant |
Eigenvalues |
-2 3- 2 7- 11+ 6 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-31949072,-69518761732] |
[a1,a2,a3,a4,a6] |
j |
-3606604082099922073056514048/162252863054667 |
j-invariant |
L |
1.8097969481827 |
L(r)(E,1)/r! |
Ω |
0.031750823652329 |
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 |
25641m1 59829e1 94017u1 |
Quadratic twists by: -3 -7 -11 |