Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65520bd |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
7313874750000000000 = 210 · 38 · 512 · 73 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7752027,8306493946] |
[a1,a2,a3,a4,a6] |
Generators |
[-253:101250:1] |
Generators of the group modulo torsion |
j |
69014771940559650916/9797607421875 |
j-invariant |
L |
6.4192377497733 |
L(r)(E,1)/r! |
Ω |
0.22705695554633 |
Real period |
R |
1.1779786217938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000401 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32760bp4 21840l4 |
Quadratic twists by: -4 -3 |