Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
15600r |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
3422250000000000 = 210 · 34 · 512 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-122408,-16282812] |
[a1,a2,a3,a4,a6] |
Generators |
[-221:156:1] |
Generators of the group modulo torsion |
j |
12677589459076/213890625 |
j-invariant |
L |
6.0422206991205 |
L(r)(E,1)/r! |
Ω |
0.25550018199376 |
Real period |
R |
2.95607455735 |
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 |
7800o2 62400dx2 46800ba2 3120a2 |
Quadratic twists by: -4 8 -3 5 |