Atkin-Lehner |
3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
33135i |
Isogeny class |
Conductor |
33135 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
1320697315125 = 314 · 53 · 472 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 5 4 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-58444,5433017] |
[a1,a2,a3,a4,a6] |
Generators |
[115:428:1] |
Generators of the group modulo torsion |
j |
9993948576518041/597871125 |
j-invariant |
L |
8.2513961293292 |
L(r)(E,1)/r! |
Ω |
0.81278762350965 |
Real period |
R |
0.72514076341891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99405s1 33135k1 |
Quadratic twists by: -3 -47 |