Atkin-Lehner |
2- 3+ 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
8970h |
Isogeny class |
Conductor |
8970 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
-2.4653689275099E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,261234,-233188437] |
[a1,a2,a3,a4,a6] |
j |
1971572306805346063391/24653689275098988000 |
j-invariant |
L |
2.0873843762755 |
L(r)(E,1)/r! |
Ω |
0.10436921881378 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71760bo3 26910s3 44850ba3 116610j3 |
Quadratic twists by: -4 -3 5 13 |