Atkin-Lehner |
2+ 3- 37- |
Signs for the Atkin-Lehner involutions |
Class |
888b |
Isogeny class |
Conductor |
888 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
128 |
Modular degree for the optimal curve |
Δ |
3884112 = 24 · 38 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 -4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-39,-18] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:6:1] |
Generators of the group modulo torsion |
j |
420616192/242757 |
j-invariant |
L |
2.4590584169849 |
L(r)(E,1)/r! |
Ω |
2.0800736557507 |
Real period |
R |
1.1821977602507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1776a1 7104b1 2664g1 22200l1 |
Quadratic twists by: -4 8 -3 5 |