Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344ci |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2.3564964032812E+24 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 4 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-126500556,-542626132880] |
[a1,a2,a3,a4,a6] |
j |
242702053576633/2554695936 |
j-invariant |
L |
0.18018273981201 |
L(r)(E,1)/r! |
Ω |
0.045045620815664 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
97344fn2 3042d2 32448bf2 7488o2 |
Quadratic twists by: -4 8 -3 13 |