Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39984dw |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
Δ |
2.3689862606694E+22 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 6 -5 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7387592,-2214717324] |
[a1,a2,a3,a4,a6] |
Generators |
[-428:29478:1] |
Generators of the group modulo torsion |
j |
222165413800219579417/118033833938006016 |
j-invariant |
L |
5.8503484516233 |
L(r)(E,1)/r! |
Ω |
0.097271016074832 |
Real period |
R |
0.66827585757583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4998j2 119952fo2 39984bf2 |
Quadratic twists by: -4 -3 -7 |