Atkin-Lehner |
2- 3- 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
84420n |
Isogeny class |
Conductor |
84420 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
1.2408053258722E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6316743,6108306622] |
[a1,a2,a3,a4,a6] |
Generators |
[-33904806:1853015783:17576] |
Generators of the group modulo torsion |
j |
149360528535501407056/66486910894215 |
j-invariant |
L |
6.5230414706044 |
L(r)(E,1)/r! |
Ω |
0.22166142407046 |
Real period |
R |
14.713975372779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001331 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
28140s4 |
Quadratic twists by: -3 |