Atkin-Lehner |
3- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
11115d |
Isogeny class |
Conductor |
11115 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1525322639237085 = 39 · 5 · 138 · 19 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 0 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-128475,-17592620] |
[a1,a2,a3,a4,a6] |
Generators |
[-103544:203341:512] |
Generators of the group modulo torsion |
j |
321702150707175601/2092349299365 |
j-invariant |
L |
3.9802302987802 |
L(r)(E,1)/r! |
Ω |
0.25226960122627 |
Real period |
R |
7.8888424911931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3705c4 55575x3 |
Quadratic twists by: -3 5 |