Atkin-Lehner |
2- 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
111630x |
Isogeny class |
Conductor |
111630 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1738812634683750 = 2 · 33 · 54 · 616 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1073586,428063166] |
[a1,a2,a3,a4,a6] |
Generators |
[14280714:1004082393:2744] |
Generators of the group modulo torsion |
j |
2656166199049/33750 |
j-invariant |
L |
14.739354289669 |
L(r)(E,1)/r! |
Ω |
0.42917299680978 |
Real period |
R |
11.447873269982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30a5 |
Quadratic twists by: 61 |