Atkin-Lehner |
2- 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
111630x |
Isogeny class |
Conductor |
111630 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
4173150323241000 = 23 · 34 · 53 · 616 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-19846031,-34031392239] |
[a1,a2,a3,a4,a6] |
Generators |
[-1019165995874024685539438:512613649175586972828289:396252675384789334168] |
Generators of the group modulo torsion |
j |
16778985534208729/81000 |
j-invariant |
L |
14.739354289669 |
L(r)(E,1)/r! |
Ω |
0.071528832801631 |
Real period |
R |
34.343619809945 |
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 |
30a7 |
Quadratic twists by: 61 |