Atkin-Lehner |
2- 3+ 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
33150br |
Isogeny class |
Conductor |
33150 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
672282000000000 = 210 · 32 · 59 · 133 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 4 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-93263,-10930219] |
[a1,a2,a3,a4,a6] |
Generators |
[-181:338:1] |
Generators of the group modulo torsion |
j |
45932714112797/344208384 |
j-invariant |
L |
8.330715052089 |
L(r)(E,1)/r! |
Ω |
0.27331809667933 |
Real period |
R |
3.0479924868872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99450bq1 33150bd1 |
Quadratic twists by: -3 5 |