Atkin-Lehner |
2+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
41800h |
Isogeny class |
Conductor |
41800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
853144531250000 = 24 · 513 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 11- 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-652783,-202780188] |
[a1,a2,a3,a4,a6] |
Generators |
[-8445874959:101685177:18191447] |
Generators of the group modulo torsion |
j |
123052623197108224/3412578125 |
j-invariant |
L |
9.3238831059849 |
L(r)(E,1)/r! |
Ω |
0.16796083032624 |
Real period |
R |
13.878061759805 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83600f1 8360n1 |
Quadratic twists by: -4 5 |