Atkin-Lehner |
2- 3+ 5- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
15990q |
Isogeny class |
Conductor |
15990 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
653723135360100 = 22 · 34 · 52 · 134 · 414 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-53800,4620485] |
[a1,a2,a3,a4,a6] |
Generators |
[-175:3039:1] |
Generators of the group modulo torsion |
j |
17221502682601027201/653723135360100 |
j-invariant |
L |
6.5210953403636 |
L(r)(E,1)/r! |
Ω |
0.50758107759348 |
Real period |
R |
1.6059245577281 |
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 |
127920ci3 47970i3 79950t3 |
Quadratic twists by: -4 -3 5 |