Atkin-Lehner |
2- 3- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
32016y |
Isogeny class |
Conductor |
32016 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-107010374261538816 = -1 · 218 · 37 · 235 · 29 |
Discriminant |
Eigenvalues |
2- 3- 1 4 -1 1 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,27760,-15628524] |
[a1,a2,a3,a4,a6] |
Generators |
[244:2394:1] |
Generators of the group modulo torsion |
j |
577572497126639/26125579653696 |
j-invariant |
L |
8.5528709930254 |
L(r)(E,1)/r! |
Ω |
0.16039880812669 |
Real period |
R |
3.8087524700442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4002i1 128064cd1 96048bn1 |
Quadratic twists by: -4 8 -3 |