Atkin-Lehner |
2- 3+ 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
33150be |
Isogeny class |
Conductor |
33150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
1120900950 = 2 · 33 · 52 · 132 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -3 13+ 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-358,1901] |
[a1,a2,a3,a4,a6] |
j |
203005872265/44836038 |
j-invariant |
L |
2.9183876586765 |
L(r)(E,1)/r! |
Ω |
1.4591938293392 |
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 |
99450w1 33150bb1 |
Quadratic twists by: -3 5 |