Atkin-Lehner |
2+ 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12870m |
Isogeny class |
Conductor |
12870 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
2018221920 = 25 · 36 · 5 · 113 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-132887040,-589586574304] |
[a1,a2,a3,a4,a6] |
j |
355995140004443961140387841/2768480 |
j-invariant |
L |
1.0671860491818 |
L(r)(E,1)/r! |
Ω |
0.044466085382577 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102960dc4 1430h4 64350ec4 |
Quadratic twists by: -4 -3 5 |