Atkin-Lehner |
2- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
46400cg |
Isogeny class |
Conductor |
46400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
7250000000000 = 210 · 512 · 29 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 0 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5133,55363] |
[a1,a2,a3,a4,a6] |
Generators |
[3:200:1] |
Generators of the group modulo torsion |
j |
934979584/453125 |
j-invariant |
L |
2.6388672060565 |
L(r)(E,1)/r! |
Ω |
0.66226320028107 |
Real period |
R |
1.9923100097731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46400r1 11600e1 9280t1 |
Quadratic twists by: -4 8 5 |