Atkin-Lehner |
2+ 3- 11+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43758g |
Isogeny class |
Conductor |
43758 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1025024 |
Modular degree for the optimal curve |
Δ |
-3.5415426966683E+19 |
Discriminant |
Eigenvalues |
2+ 3- 1 3 11+ 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,10296,286318912] |
[a1,a2,a3,a4,a6] |
Generators |
[75406:7284571:8] |
Generators of the group modulo torsion |
j |
165568631260031/48580832601759744 |
j-invariant |
L |
5.2732780429602 |
L(r)(E,1)/r! |
Ω |
0.16345326700908 |
Real period |
R |
8.0654216025275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14586l1 |
Quadratic twists by: -3 |