Atkin-Lehner |
2+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
8600c |
Isogeny class |
Conductor |
8600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-50884480000 = -1 · 210 · 54 · 433 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 1 1 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3275,72950] |
[a1,a2,a3,a4,a6] |
j |
-6069845700/79507 |
j-invariant |
L |
2.2587266428869 |
L(r)(E,1)/r! |
Ω |
1.1293633214434 |
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 |
17200h1 68800cc1 77400bs1 8600h1 |
Quadratic twists by: -4 8 -3 5 |