Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43350cw |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
8863315336800 = 25 · 33 · 52 · 177 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 3 -2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-83238,9235332] |
[a1,a2,a3,a4,a6] |
Generators |
[126:804:1] |
Generators of the group modulo torsion |
j |
105695235625/14688 |
j-invariant |
L |
11.084290986492 |
L(r)(E,1)/r! |
Ω |
0.70631062546923 |
Real period |
R |
0.52310747268069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999915 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43350r1 2550u1 |
Quadratic twists by: 5 17 |