Atkin-Lehner |
2+ 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
6390k |
Isogeny class |
Conductor |
6390 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8160 |
Modular degree for the optimal curve |
Δ |
169603891200 = 217 · 36 · 52 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 2 -1 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3744,-84992] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:59:1] |
Generators of the group modulo torsion |
j |
7962857630209/232652800 |
j-invariant |
L |
3.2130033371757 |
L(r)(E,1)/r! |
Ω |
0.61141484092231 |
Real period |
R |
2.6275150046481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51120bn1 710b1 31950by1 |
Quadratic twists by: -4 -3 5 |