Atkin-Lehner |
2+ 3- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
26832h |
Isogeny class |
Conductor |
26832 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
4068589824 = 28 · 37 · 132 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 -2 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31364,2127516] |
[a1,a2,a3,a4,a6] |
Generators |
[106:72:1] |
Generators of the group modulo torsion |
j |
13328826941157712/15892929 |
j-invariant |
L |
6.0141244698122 |
L(r)(E,1)/r! |
Ω |
1.1731833269809 |
Real period |
R |
0.7323328066344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13416c1 107328bs1 80496m1 |
Quadratic twists by: -4 8 -3 |