Atkin-Lehner |
2+ 11+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
8866c |
Isogeny class |
Conductor |
8866 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
102144 |
Modular degree for the optimal curve |
Δ |
-342782144042624 = -1 · 27 · 118 · 13 · 312 |
Discriminant |
Eigenvalues |
2+ -3 3 3 11+ 13+ 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,16247,393613] |
[a1,a2,a3,a4,a6] |
j |
474272799173478423/342782144042624 |
j-invariant |
L |
1.3733375323733 |
L(r)(E,1)/r! |
Ω |
0.34333438309331 |
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 |
70928k1 79794bb1 97526be1 115258s1 |
Quadratic twists by: -4 -3 -11 13 |