Atkin-Lehner |
2- 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
6390s |
Isogeny class |
Conductor |
6390 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
-1676991600 = -1 · 24 · 310 · 52 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 4 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-527,-4921] |
[a1,a2,a3,a4,a6] |
j |
-22164361129/2300400 |
j-invariant |
L |
3.9630428481221 |
L(r)(E,1)/r! |
Ω |
0.49538035601527 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51120bq1 2130g1 31950o1 |
Quadratic twists by: -4 -3 5 |