Atkin-Lehner |
2+ 3+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
119616g |
Isogeny class |
Conductor |
119616 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-2.6233556866687E+21 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7596769,-8424991967] |
[a1,a2,a3,a4,a6] |
Generators |
[4657:239112:1] |
Generators of the group modulo torsion |
j |
-1479655444549285112264/80058462117573681 |
j-invariant |
L |
5.6378530359504 |
L(r)(E,1)/r! |
Ω |
0.045326103635876 |
Real period |
R |
3.8870075342035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000059297 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119616m3 59808d2 |
Quadratic twists by: -4 8 |