Atkin-Lehner |
2- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
114950cp |
Isogeny class |
Conductor |
114950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-127275585593750 = -1 · 2 · 56 · 118 · 19 |
Discriminant |
Eigenvalues |
2- -3 5+ 1 11- -7 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17205,1028547] |
[a1,a2,a3,a4,a6] |
Generators |
[222:5935:8] |
Generators of the group modulo torsion |
j |
-20346417/4598 |
j-invariant |
L |
5.0103347983783 |
L(r)(E,1)/r! |
Ω |
0.56006051958706 |
Real period |
R |
2.2365149019095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001251 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4598h1 10450j1 |
Quadratic twists by: 5 -11 |