Atkin-Lehner |
3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
429a |
Isogeny class |
Conductor |
429 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16 |
Modular degree for the optimal curve |
Δ |
-1287 = -1 · 32 · 11 · 13 |
Discriminant |
Eigenvalues |
-1 3+ 0 0 11- 13- -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2,2] |
[a1,a2,a3,a4,a6] |
Generators |
[0:1:1] |
Generators of the group modulo torsion |
j |
857375/1287 |
j-invariant |
L |
1.1462496667886 |
L(r)(E,1)/r! |
Ω |
3.2842888784964 |
Real period |
R |
0.69802000323024 |
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 |
6864v1 27456u1 1287c1 10725g1 |
Quadratic twists by: -4 8 -3 5 |