Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520bn |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-25686315000000 = -1 · 26 · 311 · 57 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 1 -6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2832,236842] |
[a1,a2,a3,a4,a6] |
Generators |
[119:1503:1] |
Generators of the group modulo torsion |
j |
53838872576/550546875 |
j-invariant |
L |
3.9905623985851 |
L(r)(E,1)/r! |
Ω |
0.49263816840598 |
Real period |
R |
4.0501961266792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999887751 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83520fd1 1305e1 27840bz1 |
Quadratic twists by: -4 8 -3 |