Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344fn |
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] |
Generators |
[2572746254:-33382177920:103823] |
Generators of the group modulo torsion |
j |
986551739719628473/111045168 |
j-invariant |
L |
6.3605772293223 |
L(r)(E,1)/r! |
Ω |
0.0821147644354 |
Real period |
R |
9.6824506024784 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041322 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344ci4 24336bs4 32448cg4 7488bt4 |
Quadratic twists by: -4 8 -3 13 |