Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
3870z |
Isogeny class |
Conductor |
3870 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-36978425856000 = -1 · 220 · 38 · 53 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 -6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5998,-233071] |
[a1,a2,a3,a4,a6] |
Generators |
[57:511:1] |
Generators of the group modulo torsion |
j |
32740359775271/50724864000 |
j-invariant |
L |
5.2761433316807 |
L(r)(E,1)/r! |
Ω |
0.34345721615046 |
Real period |
R |
0.25603108061109 |
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 |
30960bu1 123840bg1 1290e1 19350k1 |
Quadratic twists by: -4 8 -3 5 |