Atkin-Lehner |
2- 5- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
42640p |
Isogeny class |
Conductor |
42640 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
286152196096000 = 232 · 53 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 0 5- 2 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16747,-182886] |
[a1,a2,a3,a4,a6] |
Generators |
[278:4080:1] |
Generators of the group modulo torsion |
j |
126816226147521/69861376000 |
j-invariant |
L |
6.4021600905259 |
L(r)(E,1)/r! |
Ω |
0.44899696129563 |
Real period |
R |
4.7529349805596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5330g1 |
Quadratic twists by: -4 |