Atkin-Lehner |
2- 3- 11- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
86526ba |
Isogeny class |
Conductor |
86526 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
33689600 |
Modular degree for the optimal curve |
Δ |
6.9301513990185E+24 |
Discriminant |
Eigenvalues |
2- 3- -3 -3 11- 5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-337340084,-2381339305353] |
[a1,a2,a3,a4,a6] |
Generators |
[-10831:46797:1] |
Generators of the group modulo torsion |
j |
5823713865787263902376571897/9506380519915644774816 |
j-invariant |
L |
7.8822215726993 |
L(r)(E,1)/r! |
Ω |
0.035231014328071 |
Real period |
R |
1.5980687400362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997279 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28842a1 |
Quadratic twists by: -3 |