Atkin-Lehner |
2+ 3+ 7+ 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33558d |
Isogeny class |
Conductor |
33558 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
1380960 |
Modular degree for the optimal curve |
Δ |
-579736072573929432 = -1 · 23 · 35 · 7 · 177 · 473 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7+ 3 0 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1132208,464673720] |
[a1,a2,a3,a4,a6] |
j |
-160510323157917538078729/579736072573929432 |
j-invariant |
L |
2.0432951794154 |
L(r)(E,1)/r! |
Ω |
0.29189931134433 |
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 |
100674bd1 |
Quadratic twists by: -3 |