Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
15870j |
Isogeny class |
Conductor |
15870 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
281919547011600 = 24 · 32 · 52 · 238 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-48944,4084526] |
[a1,a2,a3,a4,a6] |
Generators |
[108:193:1] |
Generators of the group modulo torsion |
j |
87587538121/1904400 |
j-invariant |
L |
3.6593256129537 |
L(r)(E,1)/r! |
Ω |
0.54835016124927 |
Real period |
R |
3.3366686759213 |
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 |
126960z2 47610cd2 79350cd2 690f2 |
Quadratic twists by: -4 -3 5 -23 |