Atkin-Lehner |
2+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8330j |
Isogeny class |
Conductor |
8330 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-439047244160000 = -1 · 210 · 54 · 79 · 17 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 2 0 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7114,1036020] |
[a1,a2,a3,a4,a6] |
Generators |
[191:2477:1] |
Generators of the group modulo torsion |
j |
-338463151209/3731840000 |
j-invariant |
L |
3.333245800826 |
L(r)(E,1)/r! |
Ω |
0.450127742753 |
Real period |
R |
0.92563884766346 |
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 |
66640by1 74970cx1 41650by1 1190a1 |
Quadratic twists by: -4 -3 5 -7 |