Atkin-Lehner |
2- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
33712n |
Isogeny class |
Conductor |
33712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-290097963008 = -1 · 213 · 77 · 43 |
Discriminant |
Eigenvalues |
2- 3 -2 7- 3 -2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-931,-28126] |
[a1,a2,a3,a4,a6] |
Generators |
[1155:2744:27] |
Generators of the group modulo torsion |
j |
-185193/602 |
j-invariant |
L |
9.1399950241042 |
L(r)(E,1)/r! |
Ω |
0.39806976508382 |
Real period |
R |
2.8700983551778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4214c1 4816g1 |
Quadratic twists by: -4 -7 |