Atkin-Lehner |
2+ 5- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
33550n |
Isogeny class |
Conductor |
33550 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-99053020000 = -1 · 25 · 54 · 113 · 612 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 11- 3 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,958,9716] |
[a1,a2,a3,a4,a6] |
Generators |
[139:1608:1] |
Generators of the group modulo torsion |
j |
155483817975/158484832 |
j-invariant |
L |
4.1749492908637 |
L(r)(E,1)/r! |
Ω |
0.70273227234285 |
Real period |
R |
0.33005688851732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33550t1 |
Quadratic twists by: 5 |