Atkin-Lehner |
2- 3+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
33150bq |
Isogeny class |
Conductor |
33150 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
2995200 |
Modular degree for the optimal curve |
Δ |
-1.8392649208464E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -5 13- 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2622037,1260828281] |
[a1,a2,a3,a4,a6] |
Generators |
[-175:28312:1] |
Generators of the group modulo torsion |
j |
127591024063258622231/117712954934172000 |
j-invariant |
L |
5.20934045372 |
L(r)(E,1)/r! |
Ω |
0.097074367423301 |
Real period |
R |
5.3663398402629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99450bl1 6630i1 |
Quadratic twists by: -3 5 |