Atkin-Lehner |
2- 3+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
33150bo |
Isogeny class |
Conductor |
33150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
6464250000 = 24 · 32 · 56 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -2 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-513,2031] |
[a1,a2,a3,a4,a6] |
Generators |
[1:38:1] |
Generators of the group modulo torsion |
j |
955671625/413712 |
j-invariant |
L |
7.5787587766081 |
L(r)(E,1)/r! |
Ω |
1.204912278455 |
Real period |
R |
0.78623553267354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99450bh1 1326c1 |
Quadratic twists by: -3 5 |