Atkin-Lehner |
2- 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
26928bp |
Isogeny class |
Conductor |
26928 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-395975727642451968 = -1 · 213 · 314 · 112 · 174 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11- -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,115629,26221714] |
[a1,a2,a3,a4,a6] |
Generators |
[-175:792:1] [111:-6358:1] |
Generators of the group modulo torsion |
j |
57258048889007/132611470002 |
j-invariant |
L |
6.7110725112392 |
L(r)(E,1)/r! |
Ω |
0.20881954684007 |
Real period |
R |
2.008633953572 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3366c4 107712dm3 8976bc4 |
Quadratic twists by: -4 8 -3 |