Atkin-Lehner |
2- 3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15960m |
Isogeny class |
Conductor |
15960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1072557260006400 = 210 · 38 · 52 · 72 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35880,-2076228] |
[a1,a2,a3,a4,a6] |
j |
4988766332702884/1047419199225 |
j-invariant |
L |
2.816213852601 |
L(r)(E,1)/r! |
Ω |
0.35202673157513 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
31920n3 127680cq3 47880m3 79800j3 |
Quadratic twists by: -4 8 -3 5 |