Atkin-Lehner |
2+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
11638k |
Isogeny class |
Conductor |
11638 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2496 |
Modular degree for the optimal curve |
Δ |
267674 = 2 · 11 · 233 |
Discriminant |
Eigenvalues |
2+ 2 1 -1 11- 5 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-137,563] |
[a1,a2,a3,a4,a6] |
Generators |
[13:28:1] |
Generators of the group modulo torsion |
j |
23639903/22 |
j-invariant |
L |
5.1272003907601 |
L(r)(E,1)/r! |
Ω |
3.0814224088896 |
Real period |
R |
0.83195351211321 |
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 |
93104s1 104742bt1 128018y1 11638d1 |
Quadratic twists by: -4 -3 -11 -23 |