Atkin-Lehner |
2- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
78400gg |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1.88900999168E+20 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ -6 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2549633,1701647137] |
[a1,a2,a3,a4,a6] |
Generators |
[1013:12544:1] [807:13000:1] |
Generators of the group modulo torsion |
j |
-77626969/8000 |
j-invariant |
L |
8.1481267637323 |
L(r)(E,1)/r! |
Ω |
0.17491419574884 |
Real period |
R |
0.97049093235212 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998336 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400d2 19600bt2 15680db2 78400hr2 |
Quadratic twists by: -4 8 5 -7 |