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 |
3.2451869498561E+28 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-829525275,-3072877360700] |
[a1,a2,a3,a4,a6] |
Generators |
[-276492225950734932919360:-6577526253850451797221130:10468548568238170411] |
Generators of the group modulo torsion |
j |
86593452150101798535177524401/44515596019973421228081525 |
j-invariant |
L |
4.4944986024566 |
L(r)(E,1)/r! |
Ω |
0.029734540667273 |
Real period |
R |
37.788532306163 |
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 |
6405e5 96075bn6 |
Quadratic twists by: -3 5 |