Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344bc |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1.1576066845219E+23 |
Discriminant |
Eigenvalues |
2+ 3- 1 -1 2 13+ 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20703852,39783592368] |
[a1,a2,a3,a4,a6] |
j |
-1064019559329/125497034 |
j-invariant |
L |
3.6768464772837 |
L(r)(E,1)/r! |
Ω |
0.10213462641747 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97344es2 3042k2 10816p2 7488x2 |
Quadratic twists by: -4 8 -3 13 |