Atkin-Lehner |
2- 3+ 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
33150bi |
Isogeny class |
Conductor |
33150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-6736183593750 = -1 · 2 · 33 · 59 · 13 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -3 13+ 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7313,-274219] |
[a1,a2,a3,a4,a6] |
j |
-2768178670921/431115750 |
j-invariant |
L |
1.0237564820514 |
L(r)(E,1)/r! |
Ω |
0.25593912051266 |
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 |
99450ba1 6630m1 |
Quadratic twists by: -3 5 |