Atkin-Lehner |
2+ 5+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
47120a |
Isogeny class |
Conductor |
47120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
11101472000 = 28 · 53 · 192 · 312 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 0 -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-863,-8338] |
[a1,a2,a3,a4,a6] |
Generators |
[257:4092:1] |
Generators of the group modulo torsion |
j |
277661799504/43365125 |
j-invariant |
L |
5.6988280465387 |
L(r)(E,1)/r! |
Ω |
0.8901061036227 |
Real period |
R |
3.2012071501067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999956 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23560b2 |
Quadratic twists by: -4 |