Atkin-Lehner |
2+ 7- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
82544o |
Isogeny class |
Conductor |
82544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
63488 |
Modular degree for the optimal curve |
Δ |
1757857024 = 28 · 7 · 114 · 67 |
Discriminant |
Eigenvalues |
2+ 1 -3 7- 11+ -5 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3332,-75124] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:4:1] |
Generators of the group modulo torsion |
j |
15985604319568/6866629 |
j-invariant |
L |
4.1090273358009 |
L(r)(E,1)/r! |
Ω |
0.62838186295769 |
Real period |
R |
1.6347652504088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003892 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41272c1 |
Quadratic twists by: -4 |