Atkin-Lehner |
2+ 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
46400bg |
Isogeny class |
Conductor |
46400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-44092620800000000 = -1 · 227 · 58 · 292 |
Discriminant |
Eigenvalues |
2+ -1 5- -4 3 4 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-680833,216689537] |
[a1,a2,a3,a4,a6] |
Generators |
[481:512:1] |
Generators of the group modulo torsion |
j |
-340836570625/430592 |
j-invariant |
L |
4.6718944558025 |
L(r)(E,1)/r! |
Ω |
0.35926295465045 |
Real period |
R |
1.6255135672029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999587 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46400cn1 1450h1 46400m1 |
Quadratic twists by: -4 8 5 |