Atkin-Lehner |
2- 3+ 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
72240cj |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
3.5558491291828E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-224833600,-1297205157248] |
[a1,a2,a3,a4,a6] |
Generators |
[-8571:11270:1] |
Generators of the group modulo torsion |
j |
306865036871749030137422401/86812722880440212250 |
j-invariant |
L |
6.1787835709426 |
L(r)(E,1)/r! |
Ω |
0.038988957587671 |
Real period |
R |
3.3015670510686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000078 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030z4 |
Quadratic twists by: -4 |