Atkin-Lehner |
2- 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
47376bt |
Isogeny class |
Conductor |
47376 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
6.0562239772512E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 2 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14139219,-20429516270] |
[a1,a2,a3,a4,a6] |
Generators |
[-60171:95410:27] |
Generators of the group modulo torsion |
j |
104691759681158120017/202821715630464 |
j-invariant |
L |
7.8610273155341 |
L(r)(E,1)/r! |
Ω |
0.077865260969976 |
Real period |
R |
4.2065331925119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5922b2 15792bh2 |
Quadratic twists by: -4 -3 |