Atkin-Lehner |
2+ 43+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
32336b |
Isogeny class |
Conductor |
32336 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8832 |
Modular degree for the optimal curve |
Δ |
2069504 = 210 · 43 · 47 |
Discriminant |
Eigenvalues |
2+ -2 -3 -4 -2 -6 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32,4] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:4:1] [-5:8:1] [-2:8:1] |
Generators of the group modulo torsion |
j |
3650692/2021 |
j-invariant |
L |
6.3983341626324 |
L(r)(E,1)/r! |
Ω |
2.2673390147643 |
Real period |
R |
0.70548935569056 |
Regulator |
r |
3 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16168d1 129344bb1 |
Quadratic twists by: -4 8 |