Atkin-Lehner |
3- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11115g |
Isogeny class |
Conductor |
11115 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
160368609375 = 37 · 56 · 13 · 192 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 0 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1427,-7324] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:124:1] |
Generators of the group modulo torsion |
j |
440537367529/219984375 |
j-invariant |
L |
2.435923174079 |
L(r)(E,1)/r! |
Ω |
0.81812670444324 |
Real period |
R |
0.24811999991867 |
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 |
3705f2 55575q2 |
Quadratic twists by: -3 5 |