Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
7920bl |
Isogeny class |
Conductor |
7920 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-7073479710000 = -1 · 24 · 312 · 54 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1968,-123469] |
[a1,a2,a3,a4,a6] |
Generators |
[97:990:1] |
Generators of the group modulo torsion |
j |
72268906496/606436875 |
j-invariant |
L |
4.3683968117619 |
L(r)(E,1)/r! |
Ω |
0.36980840052338 |
Real period |
R |
0.98438290512496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1980d1 31680co1 2640o1 39600dv1 |
Quadratic twists by: -4 8 -3 5 |