Atkin-Lehner |
5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
11495b |
Isogeny class |
Conductor |
11495 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
106402389556375 = 53 · 119 · 192 |
Discriminant |
Eigenvalues |
1 0 5+ -2 11+ -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-887860,322228341] |
[a1,a2,a3,a4,a6] |
Generators |
[-524:25627:1] [212:11873:1] |
Generators of the group modulo torsion |
j |
32826402662859/45125 |
j-invariant |
L |
6.7321937585617 |
L(r)(E,1)/r! |
Ω |
0.50509315808493 |
Real period |
R |
13.328618000068 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103455y2 57475d2 11495a2 |
Quadratic twists by: -3 5 -11 |