Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400kk |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1605632000 = -1 · 218 · 53 · 72 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 0 -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13317313,18710099297] |
[a1,a2,a3,a4,a6] |
Generators |
[1301:59872:1] [2107:20:1] |
Generators of the group modulo torsion |
j |
-162677523113838677 |
j-invariant |
L |
8.8801338065802 |
L(r)(E,1)/r! |
Ω |
0.4984775346171 |
Real period |
R |
2.2268139459824 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998039 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400eg2 19600dr2 78400kh2 78400jm2 |
Quadratic twists by: -4 8 5 -7 |