Atkin-Lehner |
2- 3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
19320z |
Isogeny class |
Conductor |
19320 |
Conductor |
∏ cp |
264 |
Product of Tamagawa factors cp |
Δ |
9.5789333815667E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 -2 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2585840,-587543712] |
[a1,a2,a3,a4,a6] |
Generators |
[-557:26082:1] |
Generators of the group modulo torsion |
j |
933681761518863863522/467721356521811175 |
j-invariant |
L |
6.3407383877463 |
L(r)(E,1)/r! |
Ω |
0.12543308590398 |
Real period |
R |
0.76592067444846 |
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 |
38640l2 57960i2 96600o2 |
Quadratic twists by: -4 -3 5 |