Atkin-Lehner |
2+ 3+ 5+ 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
116850b |
Isogeny class |
Conductor |
116850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-77687488800 = -1 · 25 · 38 · 52 · 192 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 -6 3 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-76630,8132980] |
[a1,a2,a3,a4,a6] |
Generators |
[159:-89:1] |
Generators of the group modulo torsion |
j |
-1990623081426450385/3107499552 |
j-invariant |
L |
4.303264501293 |
L(r)(E,1)/r! |
Ω |
0.9260663397643 |
Real period |
R |
1.1617052650285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998387581 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116850cl1 |
Quadratic twists by: 5 |