Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400gx |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-75295360000000000 = -1 · 216 · 510 · 76 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,63700,-11662000] |
[a1,a2,a3,a4,a6] |
Generators |
[5546805:48840625:35937] |
Generators of the group modulo torsion |
j |
237276/625 |
j-invariant |
L |
6.8586656162156 |
L(r)(E,1)/r! |
Ω |
0.17742122562873 |
Real period |
R |
9.6643814599975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002785 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78400w3 19600i4 15680dk4 1600p4 |
Quadratic twists by: -4 8 5 -7 |