Atkin-Lehner |
2- 3- 5- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
15990w |
Isogeny class |
Conductor |
15990 |
Conductor |
∏ cp |
960 |
Product of Tamagawa factors cp |
Δ |
671006854440000 = 26 · 310 · 54 · 132 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-210635,37170225] |
[a1,a2,a3,a4,a6] |
Generators |
[-140:8065:1] |
Generators of the group modulo torsion |
j |
1033511830077590414641/671006854440000 |
j-invariant |
L |
9.1701860070547 |
L(r)(E,1)/r! |
Ω |
0.50533147289843 |
Real period |
R |
0.30244788153464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
127920bm2 47970f2 79950i2 |
Quadratic twists by: -4 -3 5 |