Atkin-Lehner |
2- 3+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
111552cf |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-98694070272 = -1 · 221 · 34 · 7 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 1 -6 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-673,-16319] |
[a1,a2,a3,a4,a6] |
Generators |
[43:180:1] |
Generators of the group modulo torsion |
j |
-128787625/376488 |
j-invariant |
L |
4.0352838242887 |
L(r)(E,1)/r! |
Ω |
0.43365014905729 |
Real period |
R |
2.3263475423353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999760058 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111552bp1 27888be1 |
Quadratic twists by: -4 8 |