Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400fk |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
2569011200000000 = 227 · 58 · 72 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 0 2 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-292833,60846463] |
[a1,a2,a3,a4,a6] |
Generators |
[157:4332:1] |
Generators of the group modulo torsion |
j |
553463785/512 |
j-invariant |
L |
4.5750693064913 |
L(r)(E,1)/r! |
Ω |
0.45381112194299 |
Real period |
R |
5.040719679594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000214 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400kq2 2450q2 78400ca2 78400dv2 |
Quadratic twists by: -4 8 5 -7 |