Atkin-Lehner |
2+ 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488o |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-296241779295387648 = -1 · 219 · 34 · 178 |
Discriminant |
Eigenvalues |
2+ 3+ -4 2 0 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,138335,17087521] |
[a1,a2,a3,a4,a6] |
Generators |
[-104:1251:1] |
Generators of the group modulo torsion |
j |
46268279/46818 |
j-invariant |
L |
4.0113067965616 |
L(r)(E,1)/r! |
Ω |
0.20270548912095 |
Real period |
R |
4.9472103763646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000151 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55488dz2 1734g2 3264o2 |
Quadratic twists by: -4 8 17 |