Atkin-Lehner |
2- 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
39360da |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2400050384732160 = 221 · 34 · 5 · 414 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33825,410463] |
[a1,a2,a3,a4,a6] |
Generators |
[1202:41205:1] |
Generators of the group modulo torsion |
j |
16327137318409/9155465640 |
j-invariant |
L |
6.9307626582845 |
L(r)(E,1)/r! |
Ω |
0.39662065415802 |
Real period |
R |
4.368634478325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39360r3 9840n4 118080dv3 |
Quadratic twists by: -4 8 -3 |