Atkin-Lehner |
2+ 3- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
93024n |
Isogeny class |
Conductor |
93024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
3.938922646251E+20 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 2 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7444821,7760081284] |
[a1,a2,a3,a4,a6] |
Generators |
[-10232534:1917076563:17576] |
Generators of the group modulo torsion |
j |
978090386942115554752/8442478236991977 |
j-invariant |
L |
4.5451126950843 |
L(r)(E,1)/r! |
Ω |
0.16960680788207 |
Real period |
R |
13.398968902986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013181 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93024bj1 31008s1 |
Quadratic twists by: -4 -3 |