Atkin-Lehner |
2- 3+ 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
127890ed |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-477135370839015000 = -1 · 23 · 39 · 54 · 78 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-83432,34524739] |
[a1,a2,a3,a4,a6] |
Generators |
[-173:6701:1] |
Generators of the group modulo torsion |
j |
-27735580683/206045000 |
j-invariant |
L |
13.068606537667 |
L(r)(E,1)/r! |
Ω |
0.2536341225437 |
Real period |
R |
1.0734463958938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000054403 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127890j2 18270bg2 |
Quadratic twists by: -3 -7 |