Atkin-Lehner |
2- 3+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
7896i |
Isogeny class |
Conductor |
7896 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
4420749312 = 211 · 38 · 7 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14064,646668] |
[a1,a2,a3,a4,a6] |
Generators |
[1911:764:27] |
Generators of the group modulo torsion |
j |
150228113126114/2158569 |
j-invariant |
L |
3.0832801742478 |
L(r)(E,1)/r! |
Ω |
1.2599837798015 |
Real period |
R |
4.8941585180301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15792j3 63168bm4 23688l4 55272bo4 |
Quadratic twists by: -4 8 -3 -7 |