Atkin-Lehner |
3- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
61005z |
Isogeny class |
Conductor |
61005 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-47477027475675 = -1 · 34 · 52 · 710 · 83 |
Discriminant |
Eigenvalues |
-2 3- 5- 7- 3 0 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-800,-331894] |
[a1,a2,a3,a4,a6] |
j |
-200704/168075 |
j-invariant |
L |
2.2954441264638 |
L(r)(E,1)/r! |
Ω |
0.28693051596015 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61005a1 |
Quadratic twists by: -7 |