Atkin-Lehner |
2- 3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
7434i |
Isogeny class |
Conductor |
7434 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
123982423585933248 = 26 · 38 · 7 · 596 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-137030,9739541] |
[a1,a2,a3,a4,a6] |
Generators |
[-311:4867:1] |
Generators of the group modulo torsion |
j |
390337418630265625/170071911640512 |
j-invariant |
L |
6.2688750188903 |
L(r)(E,1)/r! |
Ω |
0.2976880935629 |
Real period |
R |
5.2646336504937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
59472y4 2478b4 52038bc4 |
Quadratic twists by: -4 -3 -7 |