Atkin-Lehner |
2- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
8600h |
Isogeny class |
Conductor |
8600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-795070000000000 = -1 · 210 · 510 · 433 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 1 -1 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-81875,9118750] |
[a1,a2,a3,a4,a6] |
Generators |
[171:344:1] |
Generators of the group modulo torsion |
j |
-6069845700/79507 |
j-invariant |
L |
3.7900647853912 |
L(r)(E,1)/r! |
Ω |
0.50506663160849 |
Real period |
R |
1.2506814441892 |
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 |
17200a1 68800d1 77400n1 8600c1 |
Quadratic twists by: -4 8 -3 5 |