Atkin-Lehner |
2+ 3+ 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
33288d |
Isogeny class |
Conductor |
33288 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
-14580144 = -1 · 24 · 32 · 19 · 732 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 0 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,33,-180] |
[a1,a2,a3,a4,a6] |
j |
240945152/911259 |
j-invariant |
L |
2.2562549552096 |
L(r)(E,1)/r! |
Ω |
1.1281274776084 |
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 |
66576e1 99864n1 |
Quadratic twists by: -4 -3 |