Atkin-Lehner |
2+ 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
68208k |
Isogeny class |
Conductor |
68208 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43520 |
Modular degree for the optimal curve |
Δ |
-4950263808 = -1 · 211 · 35 · 73 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 3 5 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2088,37584] |
[a1,a2,a3,a4,a6] |
Generators |
[26:-14:1] |
Generators of the group modulo torsion |
j |
-1433834750/7047 |
j-invariant |
L |
5.7812722144793 |
L(r)(E,1)/r! |
Ω |
1.3739111340403 |
Real period |
R |
1.0519734631043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996256 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34104s1 68208x1 |
Quadratic twists by: -4 -7 |