Atkin-Lehner |
2- 3+ 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
19320r |
Isogeny class |
Conductor |
19320 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-3169687500000000000 = -1 · 211 · 32 · 516 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,302560,56767212] |
[a1,a2,a3,a4,a6] |
j |
1495639267637215678/1547698974609375 |
j-invariant |
L |
2.6671374315902 |
L(r)(E,1)/r! |
Ω |
0.16669608947439 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38640ba5 57960l5 96600bf5 |
Quadratic twists by: -4 -3 5 |