Atkin-Lehner |
2+ 29- 59- |
Signs for the Atkin-Lehner involutions |
Class |
109504k |
Isogeny class |
Conductor |
109504 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-5895571902562304 = -1 · 224 · 29 · 594 |
Discriminant |
Eigenvalues |
2+ -1 -1 -2 1 -3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16161,-3772511] |
[a1,a2,a3,a4,a6] |
Generators |
[307:4484:1] |
Generators of the group modulo torsion |
j |
-1780800847561/22489822016 |
j-invariant |
L |
3.320067489524 |
L(r)(E,1)/r! |
Ω |
0.18178078246242 |
Real period |
R |
2.2830160225346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999334935 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109504q1 3422a1 |
Quadratic twists by: -4 8 |