Atkin-Lehner |
2- 5+ 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
56050l |
Isogeny class |
Conductor |
56050 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
158078515625000000 = 26 · 514 · 193 · 59 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-169105,-18679103] |
[a1,a2,a3,a4,a6] |
Generators |
[2299:107200:1] |
Generators of the group modulo torsion |
j |
34227141059513241/10117025000000 |
j-invariant |
L |
7.655984238874 |
L(r)(E,1)/r! |
Ω |
0.24078372984261 |
Real period |
R |
5.2993504750871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000086 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11210b1 |
Quadratic twists by: 5 |