Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43350dq |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
123552 |
Modular degree for the optimal curve |
Δ |
127988707500 = 22 · 311 · 54 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 0 1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-44138,-3572808] |
[a1,a2,a3,a4,a6] |
j |
52648307940625/708588 |
j-invariant |
L |
7.2463510957397 |
L(r)(E,1)/r! |
Ω |
0.32937959526331 |
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 |
43350l1 43350cs1 |
Quadratic twists by: 5 17 |