Atkin-Lehner |
2- 3+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
22512l |
Isogeny class |
Conductor |
22512 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
88226869248 = 212 · 38 · 72 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 4 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5528,159408] |
[a1,a2,a3,a4,a6] |
Generators |
[34:98:1] |
Generators of the group modulo torsion |
j |
4561907001625/21539763 |
j-invariant |
L |
3.9900754956848 |
L(r)(E,1)/r! |
Ω |
1.0806346315268 |
Real period |
R |
1.846172322854 |
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 |
1407e2 90048bm2 67536bq2 |
Quadratic twists by: -4 8 -3 |