Atkin-Lehner |
2+ 3- 5+ 31- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
39990f |
Isogeny class |
Conductor |
39990 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
4.2339550737462E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5044096839,137886548929162] |
[a1,a2,a3,a4,a6] |
Generators |
[-1657:12093804:1] |
Generators of the group modulo torsion |
j |
14192992044297479227074875181382249/423395507374624563840000 |
j-invariant |
L |
3.1390821878982 |
L(r)(E,1)/r! |
Ω |
0.069099538728253 |
Real period |
R |
1.2619002824972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
119970ca2 |
Quadratic twists by: -3 |