Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344ci |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.0243001341423E+23 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 4 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2018867916,-34914829912976] |
[a1,a2,a3,a4,a6] |
j |
986551739719628473/111045168 |
j-invariant |
L |
0.18018273981201 |
L(r)(E,1)/r! |
Ω |
0.022522810407832 |
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 |
97344fn4 3042d3 32448bf4 7488o3 |
Quadratic twists by: -4 8 -3 13 |