Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344fn |
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] |
Generators |
[718115619101790:-1189083492426752:120188100375] |
Generators of the group modulo torsion |
j |
242702053576633/2554695936 |
j-invariant |
L |
6.3605772293223 |
L(r)(E,1)/r! |
Ω |
0.0821147644354 |
Real period |
R |
19.364901204957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041322 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
97344ci2 24336bs2 32448cg2 7488bt2 |
Quadratic twists by: -4 8 -3 13 |