Atkin-Lehner |
2- 3+ 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
56550bi |
Isogeny class |
Conductor |
56550 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
59680535616000000 = 212 · 38 · 56 · 132 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-562038,-161987469] |
[a1,a2,a3,a4,a6] |
Generators |
[-435:867:1] |
Generators of the group modulo torsion |
j |
1256610758033695897/3819554279424 |
j-invariant |
L |
5.579747719201 |
L(r)(E,1)/r! |
Ω |
0.1743963887254 |
Real period |
R |
1.3331095328084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000122 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2262h2 |
Quadratic twists by: 5 |