Atkin-Lehner |
2- 3+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
8844b |
Isogeny class |
Conductor |
8844 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-37853857906826544 = -1 · 24 · 36 · 115 · 674 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 11+ 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,13283,-9346670] |
[a1,a2,a3,a4,a6] |
Generators |
[8045130:4391541800:27] |
Generators of the group modulo torsion |
j |
16197931255857152/2365866119176659 |
j-invariant |
L |
4.0172610231661 |
L(r)(E,1)/r! |
Ω |
0.17243138449547 |
Real period |
R |
11.648868432277 |
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 |
35376ba1 26532h1 97284g1 |
Quadratic twists by: -4 -3 -11 |