Atkin-Lehner |
2- 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
20336b |
Isogeny class |
Conductor |
20336 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
161386496 = 212 · 312 · 41 |
Discriminant |
Eigenvalues |
2- 0 2 -2 4 -4 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-179,690] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:40:1] |
Generators of the group modulo torsion |
j |
154854153/39401 |
j-invariant |
L |
5.1331562966377 |
L(r)(E,1)/r! |
Ω |
1.7027305483074 |
Real period |
R |
1.5073307699038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1271a1 81344h1 |
Quadratic twists by: -4 8 |