Atkin-Lehner |
2+ 3- 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
55650y |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
137490503850000000 = 27 · 32 · 58 · 78 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-885776,320303198] |
[a1,a2,a3,a4,a6] |
Generators |
[492:1666:1] |
Generators of the group modulo torsion |
j |
4918976051404182769/8799392246400 |
j-invariant |
L |
4.631174009638 |
L(r)(E,1)/r! |
Ω |
0.32777851479071 |
Real period |
R |
3.5322434208765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000305 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130x2 |
Quadratic twists by: 5 |