Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8568l |
Isogeny class |
Conductor |
8568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-7195474944 = -1 · 210 · 310 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -6 -4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,141,4030] |
[a1,a2,a3,a4,a6] |
j |
415292/9639 |
j-invariant |
L |
1.9856000242857 |
L(r)(E,1)/r! |
Ω |
0.99280001214284 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17136e1 68544cd1 2856d1 59976bq1 |
Quadratic twists by: -4 8 -3 -7 |