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 |
602362880000000 = 216 · 57 · 76 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-524300,-146118000] |
[a1,a2,a3,a4,a6] |
Generators |
[-1415685:160831:3375] |
Generators of the group modulo torsion |
j |
132304644/5 |
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 |
78400w4 19600i3 15680dk3 1600p3 |
Quadratic twists by: -4 8 5 -7 |