Atkin-Lehner |
2- 3- 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
47988h |
Isogeny class |
Conductor |
47988 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
10697101056 = 28 · 36 · 31 · 432 |
Discriminant |
Eigenvalues |
2- 3- 2 2 -4 6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1359,18630] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:180:1] |
Generators of the group modulo torsion |
j |
1487354832/57319 |
j-invariant |
L |
7.435481117422 |
L(r)(E,1)/r! |
Ω |
1.2712931977155 |
Real period |
R |
2.9243769772186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5332b2 |
Quadratic twists by: -3 |