Atkin-Lehner |
2- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
11638q |
Isogeny class |
Conductor |
11638 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
54912 |
Modular degree for the optimal curve |
Δ |
306815630680064 = 213 · 11 · 237 |
Discriminant |
Eigenvalues |
2- -2 1 1 11+ -3 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-45505,-3643767] |
[a1,a2,a3,a4,a6] |
Generators |
[458:8235:1] |
Generators of the group modulo torsion |
j |
70393838689/2072576 |
j-invariant |
L |
5.3116659138032 |
L(r)(E,1)/r! |
Ω |
0.32746632287026 |
Real period |
R |
0.31193259973717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93104bd1 104742s1 128018i1 506f1 |
Quadratic twists by: -4 -3 -11 -23 |