Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850fw |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1271688721488281250 = 2 · 33 · 59 · 77 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-308703088,-2087684783458] |
[a1,a2,a3,a4,a6] |
j |
1769857772964702379561/691787250 |
j-invariant |
L |
6.9153718741414 |
L(r)(E,1)/r! |
Ω |
0.036017561900165 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170e4 11550bl4 |
Quadratic twists by: 5 -7 |