Atkin-Lehner |
2- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34496dd |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
14959673344 = 215 · 73 · 113 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 11- -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-397516,96467280] |
[a1,a2,a3,a4,a6] |
Generators |
[368:-132:1] [-336:13860:1] |
Generators of the group modulo torsion |
j |
618078302648568/1331 |
j-invariant |
L |
7.4957844032761 |
L(r)(E,1)/r! |
Ω |
0.81292580676593 |
Real period |
R |
3.0735828292036 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34496ci2 17248d2 34496dc2 |
Quadratic twists by: -4 8 -7 |