Atkin-Lehner |
2+ 3- 7- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
34314m |
Isogeny class |
Conductor |
34314 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
Δ |
40403039751144 = 23 · 33 · 73 · 193 · 433 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 3 -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8625,-39620] |
[a1,a2,a3,a4,a6] |
Generators |
[-88:243:1] |
Generators of the group modulo torsion |
j |
70946118333005833/40403039751144 |
j-invariant |
L |
4.0432258467973 |
L(r)(E,1)/r! |
Ω |
0.53567179400819 |
Real period |
R |
0.83866151127606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
102942bt2 |
Quadratic twists by: -3 |