Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
8712k |
Isogeny class |
Conductor |
8712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-116173102289688576 = -1 · 211 · 37 · 1110 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,95469,11832590] |
[a1,a2,a3,a4,a6] |
Generators |
[5142:164060:27] |
Generators of the group modulo torsion |
j |
36382894/43923 |
j-invariant |
L |
3.7233681670076 |
L(r)(E,1)/r! |
Ω |
0.2222961555479 |
Real period |
R |
8.3747920827296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17424v4 69696cd3 2904k4 792d4 |
Quadratic twists by: -4 8 -3 -11 |