Atkin-Lehner |
3- 5+ 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
68475g |
Isogeny class |
Conductor |
68475 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-42796875 = -1 · 3 · 56 · 11 · 83 |
Discriminant |
Eigenvalues |
0 3- 5+ 2 11- 2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,17,319] |
[a1,a2,a3,a4,a6] |
Generators |
[-87:406:27] |
Generators of the group modulo torsion |
j |
32768/2739 |
j-invariant |
L |
7.1071627459696 |
L(r)(E,1)/r! |
Ω |
1.5533797218879 |
Real period |
R |
4.5752900241848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000907 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2739g1 |
Quadratic twists by: 5 |