Atkin-Lehner |
2- 3- 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
65424r |
Isogeny class |
Conductor |
65424 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-3148726272 = -1 · 214 · 3 · 29 · 472 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-472,4628] |
[a1,a2,a3,a4,a6] |
Generators |
[498:1360:27] |
Generators of the group modulo torsion |
j |
-2845178713/768732 |
j-invariant |
L |
9.6877895314747 |
L(r)(E,1)/r! |
Ω |
1.3484321571156 |
Real period |
R |
3.592242101456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999783 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8178c1 |
Quadratic twists by: -4 |