Atkin-Lehner |
7+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
32683a |
Isogeny class |
Conductor |
32683 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
34464 |
Modular degree for the optimal curve |
Δ |
36833741 = 74 · 232 · 29 |
Discriminant |
Eigenvalues |
2 2 3 7+ 0 -1 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3054,-63953] |
[a1,a2,a3,a4,a6] |
Generators |
[-54420:-611:1728] |
Generators of the group modulo torsion |
j |
1312444198912/15341 |
j-invariant |
L |
18.430812631345 |
L(r)(E,1)/r! |
Ω |
0.64220066553316 |
Real period |
R |
4.7832434160965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32683d1 |
Quadratic twists by: -7 |