Atkin-Lehner |
2- 3+ 5- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
15990q |
Isogeny class |
Conductor |
15990 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-121450712734930410 = -1 · 2 · 32 · 5 · 132 · 418 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,22250,16727645] |
[a1,a2,a3,a4,a6] |
Generators |
[11630:441327:8] |
Generators of the group modulo torsion |
j |
1218183010131203999/121450712734930410 |
j-invariant |
L |
6.5210953403636 |
L(r)(E,1)/r! |
Ω |
0.25379053879674 |
Real period |
R |
3.2118491154561 |
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 |
127920ci5 47970i5 79950t5 |
Quadratic twists by: -4 -3 5 |