Atkin-Lehner |
2- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
8600g |
Isogeny class |
Conductor |
8600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6480 |
Modular degree for the optimal curve |
Δ |
-6718750000 = -1 · 24 · 510 · 43 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 5 -3 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,417,2338] |
[a1,a2,a3,a4,a6] |
j |
51200/43 |
j-invariant |
L |
1.726157712367 |
L(r)(E,1)/r! |
Ω |
0.86307885618349 |
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 |
17200e1 68800bj1 77400i1 8600e1 |
Quadratic twists by: -4 8 -3 5 |