Atkin-Lehner |
2- 3+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33840r |
Isogeny class |
Conductor |
33840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
9251010000 = 24 · 39 · 54 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-648,4347] |
[a1,a2,a3,a4,a6] |
j |
95551488/29375 |
j-invariant |
L |
1.2017790289236 |
L(r)(E,1)/r! |
Ω |
1.2017790289246 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8460a1 33840bf1 |
Quadratic twists by: -4 -3 |