Atkin-Lehner |
2+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
33320g |
Isogeny class |
Conductor |
33320 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
-80921335180000000 = -1 · 28 · 57 · 77 · 173 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- -2 -1 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-229385,44369275] |
[a1,a2,a3,a4,a6] |
Generators |
[-530:4165:1] [1255:41650:1] |
Generators of the group modulo torsion |
j |
-44319254354944/2686796875 |
j-invariant |
L |
6.6343633429054 |
L(r)(E,1)/r! |
Ω |
0.33748247660344 |
Real period |
R |
0.058507123674881 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66640r1 4760b1 |
Quadratic twists by: -4 -7 |