Atkin-Lehner |
2+ 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
81312p |
Isogeny class |
Conductor |
81312 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1192800204288 = 29 · 36 · 74 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11+ -2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4968,122472] |
[a1,a2,a3,a4,a6] |
Generators |
[66:294:1] [-6:390:1] |
Generators of the group modulo torsion |
j |
19902511000/1750329 |
j-invariant |
L |
12.472156791376 |
L(r)(E,1)/r! |
Ω |
0.84362200486407 |
Real period |
R |
1.2320048473272 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997775 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81312bc2 81312bs2 |
Quadratic twists by: -4 -11 |