Atkin-Lehner |
2- 3+ 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
127890ef |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
2112 |
Product of Tamagawa factors cp |
Δ |
-2.5681334200039E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5831867,-77291089109] |
[a1,a2,a3,a4,a6] |
Generators |
[6491:394634:1] |
Generators of the group modulo torsion |
j |
-9472550795439003/1109016608000000 |
j-invariant |
L |
11.594073646637 |
L(r)(E,1)/r! |
Ω |
0.035997077958015 |
Real period |
R |
0.61000709145693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999952104 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127890i2 18270bd2 |
Quadratic twists by: -3 -7 |