Atkin-Lehner |
2+ 3+ 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
12720b |
Isogeny class |
Conductor |
12720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-647193600 = -1 · 210 · 32 · 52 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 6 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,104,1120] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:30:1] |
Generators of the group modulo torsion |
j |
120320924/632025 |
j-invariant |
L |
3.5223093296258 |
L(r)(E,1)/r! |
Ω |
1.1664591853289 |
Real period |
R |
0.75491482555231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6360e2 50880ef2 38160m2 63600t2 |
Quadratic twists by: -4 8 -3 5 |