Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43350dc |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-553957208550 = -1 · 2 · 33 · 52 · 177 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 2 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-873,-37233] |
[a1,a2,a3,a4,a6] |
Generators |
[2964:8055:64] |
Generators of the group modulo torsion |
j |
-121945/918 |
j-invariant |
L |
12.843933090653 |
L(r)(E,1)/r! |
Ω |
0.38818823287786 |
Real period |
R |
2.757239058021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999951 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43350x1 2550t1 |
Quadratic twists by: 5 17 |