Atkin-Lehner |
2- 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
72072br |
Isogeny class |
Conductor |
72072 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
1.6362453847169E+28 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-636012831,-488639110430] |
[a1,a2,a3,a4,a6] |
Generators |
[-17623:2290554:1] |
Generators of the group modulo torsion |
j |
152459275009572062112030928/87676042991090726373201 |
j-invariant |
L |
4.8920548922778 |
L(r)(E,1)/r! |
Ω |
0.032691055569714 |
Real period |
R |
3.7411264397062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997807 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24024p2 |
Quadratic twists by: -3 |