Atkin-Lehner |
2- 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41800q |
Isogeny class |
Conductor |
41800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-1738618750000 = -1 · 24 · 58 · 114 · 19 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 11+ -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4883,144238] |
[a1,a2,a3,a4,a6] |
Generators |
[39:-121:1] [-37:525:1] |
Generators of the group modulo torsion |
j |
-51514894336/6954475 |
j-invariant |
L |
6.5918130167189 |
L(r)(E,1)/r! |
Ω |
0.81222770994894 |
Real period |
R |
2.028930106661 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83600s1 8360f1 |
Quadratic twists by: -4 5 |