Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400gp |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8.6812553324672E+21 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5228300,1037918000] |
[a1,a2,a3,a4,a6] |
Generators |
[45982440:-2273608700:250047] |
Generators of the group modulo torsion |
j |
262389836808/144120025 |
j-invariant |
L |
6.2185780314634 |
L(r)(E,1)/r! |
Ω |
0.11339067655176 |
Real period |
R |
13.710514433249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002619 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78400gq3 39200e3 15680di3 11200bt4 |
Quadratic twists by: -4 8 5 -7 |