Atkin-Lehner |
23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
16399a |
Isogeny class |
Conductor |
16399 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
41952 |
Modular degree for the optimal curve |
Δ |
-75256856855041 = -1 · 238 · 312 |
Discriminant |
Eigenvalues |
-1 -2 1 0 -4 -5 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5830,450693] |
[a1,a2,a3,a4,a6] |
Generators |
[23:562:1] [44:507:1] |
Generators of the group modulo torsion |
j |
-279841/961 |
j-invariant |
L |
3.4608939800708 |
L(r)(E,1)/r! |
Ω |
0.53678994213248 |
Real period |
R |
1.074564961209 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16399b1 |
Quadratic twists by: -23 |