Atkin-Lehner |
3- 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
19215i |
Isogeny class |
Conductor |
19215 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
161495176815 = 311 · 5 · 72 · 612 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10633427280,-422041614858419] |
[a1,a2,a3,a4,a6] |
Generators |
[339665863684617149729745235362003542660398373148:341765381102123025058945514579174599217971188786895:331642685765780245738309331608058351099584] |
Generators of the group modulo torsion |
j |
182396281399070033896409840129281/221529735 |
j-invariant |
L |
4.4944986024566 |
L(r)(E,1)/r! |
Ω |
0.014867270333637 |
Real period |
R |
75.577064612325 |
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 |
6405e4 96075bn4 |
Quadratic twists by: -3 5 |