Atkin-Lehner |
2- 3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
84270ba |
Isogeny class |
Conductor |
84270 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
2.241348854809E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-726185,69341015] |
[a1,a2,a3,a4,a6] |
Generators |
[-357:17008:1] |
Generators of the group modulo torsion |
j |
1910778533929/1011240000 |
j-invariant |
L |
9.6616330225745 |
L(r)(E,1)/r! |
Ω |
0.18791053885654 |
Real period |
R |
4.2846776449752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001499 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1590f2 |
Quadratic twists by: 53 |