Atkin-Lehner |
2- 3- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
26862s |
Isogeny class |
Conductor |
26862 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
228096 |
Modular degree for the optimal curve |
Δ |
39666037419773952 = 212 · 3 · 119 · 372 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11+ 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-85489,853865] |
[a1,a2,a3,a4,a6] |
Generators |
[-278:1915:1] |
Generators of the group modulo torsion |
j |
29303572787/16822272 |
j-invariant |
L |
8.2115761346423 |
L(r)(E,1)/r! |
Ω |
0.3104885119795 |
Real period |
R |
2.2039398715833 |
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 |
80586e1 26862e1 |
Quadratic twists by: -3 -11 |