Atkin-Lehner |
2- 3- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
96048br |
Isogeny class |
Conductor |
96048 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
2359296 |
Modular degree for the optimal curve |
Δ |
-5.1318857971944E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 0 2 -6 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1767531,967923866] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:33534:1] |
Generators of the group modulo torsion |
j |
-204520739414888233/17186581700352 |
j-invariant |
L |
5.5494668208496 |
L(r)(E,1)/r! |
Ω |
0.19585701565021 |
Real period |
R |
1.1805948503343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005344 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12006n1 32016m1 |
Quadratic twists by: -4 -3 |