Atkin-Lehner |
2- 11+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
8866h |
Isogeny class |
Conductor |
8866 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
2400 |
Modular degree for the optimal curve |
Δ |
-1844128 = -1 · 25 · 11 · 132 · 31 |
Discriminant |
Eigenvalues |
2- 0 -4 -3 11+ 13+ -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,23,-55] |
[a1,a2,a3,a4,a6] |
Generators |
[5:10:1] [11:32:1] |
Generators of the group modulo torsion |
j |
1401168159/1844128 |
j-invariant |
L |
6.3602060930769 |
L(r)(E,1)/r! |
Ω |
1.4079568531356 |
Real period |
R |
0.45173302568996 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70928l1 79794k1 97526m1 115258g1 |
Quadratic twists by: -4 -3 -11 13 |