Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800it |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
381182760000000000 = 212 · 34 · 510 · 76 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-196408,-15560812] |
[a1,a2,a3,a4,a6] |
j |
111284641/50625 |
j-invariant |
L |
3.7879219833303 |
L(r)(E,1)/r! |
Ω |
0.23674512408262 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3675e4 11760bq3 1200j4 |
Quadratic twists by: -4 5 -7 |