Atkin-Lehner |
2+ 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
126400p |
Isogeny class |
Conductor |
126400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
316000000000000 = 214 · 512 · 79 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 -4 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46300,-3738000] |
[a1,a2,a3,a4,a6] |
Generators |
[-120:300:1] [51880:11816700:1] |
Generators of the group modulo torsion |
j |
42877229904/1234375 |
j-invariant |
L |
11.341717149238 |
L(r)(E,1)/r! |
Ω |
0.3260382308756 |
Real period |
R |
17.3932319506 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000417 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126400bh2 7900b2 25280k2 |
Quadratic twists by: -4 8 5 |