Atkin-Lehner |
3- 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
11115f |
Isogeny class |
Conductor |
11115 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
105336855 = 38 · 5 · 132 · 19 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 13- 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6935760,7032282565] |
[a1,a2,a3,a4,a6] |
j |
50614900703283430575361/144495 |
j-invariant |
L |
2.3925498901593 |
L(r)(E,1)/r! |
Ω |
0.59813747253982 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3705e5 55575m6 |
Quadratic twists by: -3 5 |