Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400il |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
47225249792000000 = 219 · 56 · 78 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-824833,287870463] |
[a1,a2,a3,a4,a6] |
Generators |
[639:4704:1] |
Generators of the group modulo torsion |
j |
128787625/98 |
j-invariant |
L |
4.8385777513091 |
L(r)(E,1)/r! |
Ω |
0.35522348861486 |
Real period |
R |
1.7026526635383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978867 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78400cc2 19600cp2 3136y2 11200co2 |
Quadratic twists by: -4 8 5 -7 |