Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43350k |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9139200 |
Modular degree for the optimal curve |
Δ |
3.0559863075402E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 5 -6 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-18786595,16571903245] |
[a1,a2,a3,a4,a6] |
Generators |
[-661172217:1676247272617:12649337] |
Generators of the group modulo torsion |
j |
247336189744145/103079215104 |
j-invariant |
L |
2.6461841568549 |
L(r)(E,1)/r! |
Ω |
0.087708278388639 |
Real period |
R |
15.085144786064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999883 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43350do2 43350bh1 |
Quadratic twists by: 5 17 |