Atkin-Lehner |
2- 3+ 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
78960bq |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3636897600000000 = 212 · 3 · 58 · 73 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-78016,-7843520] |
[a1,a2,a3,a4,a6] |
Generators |
[-174:658:1] |
Generators of the group modulo torsion |
j |
12820954817619649/887914453125 |
j-invariant |
L |
4.4005252940445 |
L(r)(E,1)/r! |
Ω |
0.28690793805539 |
Real period |
R |
1.2781467244373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998086 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4935d2 |
Quadratic twists by: -4 |