Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304ie |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
7039301283495936 = 214 · 32 · 710 · 132 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-167057,-26025105] |
[a1,a2,a3,a4,a6] |
Generators |
[-314041535:-690784380:1295029] |
Generators of the group modulo torsion |
j |
267492843088/3651921 |
j-invariant |
L |
11.355452142769 |
L(r)(E,1)/r! |
Ω |
0.23634261331103 |
Real period |
R |
12.011642742003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996091 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
122304bw2 30576e2 17472cf2 |
Quadratic twists by: -4 8 -7 |