Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400hr |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1605632000000000 = -1 · 224 · 59 · 72 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -6 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-52033,-4975937] |
[a1,a2,a3,a4,a6] |
Generators |
[8373:80128:27] |
Generators of the group modulo torsion |
j |
-77626969/8000 |
j-invariant |
L |
6.505531494984 |
L(r)(E,1)/r! |
Ω |
0.15713520656891 |
Real period |
R |
5.1751065518289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979738 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400by2 19600cl2 15680co2 78400gg2 |
Quadratic twists by: -4 8 5 -7 |