Atkin-Lehner |
2- 3+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15312p |
Isogeny class |
Conductor |
15312 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
44546735993683968 = 215 · 318 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 11- -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-91968,-3451392] |
[a1,a2,a3,a4,a6] |
Generators |
[-208:2576:1] |
Generators of the group modulo torsion |
j |
21002873311842625/10875667967208 |
j-invariant |
L |
4.6110252103586 |
L(r)(E,1)/r! |
Ω |
0.29006255264167 |
Real period |
R |
3.9741645106934 |
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 |
1914m2 61248cb2 45936bk2 |
Quadratic twists by: -4 8 -3 |