Atkin-Lehner |
2- 3- 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
7998i |
Isogeny class |
Conductor |
7998 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
Δ |
-127904023998 = -1 · 2 · 33 · 313 · 433 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -6 -1 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1228,-23986] |
[a1,a2,a3,a4,a6] |
Generators |
[838:7579:8] |
Generators of the group modulo torsion |
j |
-204805170258625/127904023998 |
j-invariant |
L |
7.3986906087275 |
L(r)(E,1)/r! |
Ω |
0.39214201436204 |
Real period |
R |
0.69879168277038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63984p2 23994m2 |
Quadratic twists by: -4 -3 |