Atkin-Lehner |
2- 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
26928bn |
Isogeny class |
Conductor |
26928 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
1675137024 = 212 · 37 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1731,27650] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:72:1] [7:126:1] |
Generators of the group modulo torsion |
j |
192100033/561 |
j-invariant |
L |
7.4205828899513 |
L(r)(E,1)/r! |
Ω |
1.5012278649464 |
Real period |
R |
2.4715045141456 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1683e1 107712di1 8976r1 |
Quadratic twists by: -4 8 -3 |