Atkin-Lehner |
2- 3+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33840w |
Isogeny class |
Conductor |
33840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-79465570809937920 = -1 · 234 · 39 · 5 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 2 -1 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42363,-13971798] |
[a1,a2,a3,a4,a6] |
j |
-104287581243/985661440 |
j-invariant |
L |
0.58102090757638 |
L(r)(E,1)/r! |
Ω |
0.14525522689577 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4230u1 33840bk1 |
Quadratic twists by: -4 -3 |