Atkin-Lehner |
2- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
112112br |
Isogeny class |
Conductor |
112112 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
16249913295616 = 28 · 79 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 0 2 7- 11- 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25039,-1512630] |
[a1,a2,a3,a4,a6] |
Generators |
[-46505148940988:35487797664075:482628267584] |
Generators of the group modulo torsion |
j |
168055344/1573 |
j-invariant |
L |
8.3733011971468 |
L(r)(E,1)/r! |
Ω |
0.37974377889149 |
Real period |
R |
22.049870593182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016748 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28028g2 112112bj2 |
Quadratic twists by: -4 -7 |