Atkin-Lehner |
2- 3- 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
89670ca |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-2.5343975848899E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1654241,853859481] |
[a1,a2,a3,a4,a6] |
j |
-4255316133725744641/215420240281680 |
j-invariant |
L |
6.7109685802901 |
L(r)(E,1)/r! |
Ω |
0.20971776946157 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12810o4 |
Quadratic twists by: -7 |