Atkin-Lehner |
2+ 3+ 7- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
123354i |
Isogeny class |
Conductor |
123354 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
608265915783372 = 22 · 39 · 72 · 116 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11+ 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-46023,3621761] |
[a1,a2,a3,a4,a6] |
Generators |
[-232:1447:1] |
Generators of the group modulo torsion |
j |
547724921276259/30903110084 |
j-invariant |
L |
3.9424906440406 |
L(r)(E,1)/r! |
Ω |
0.50701412092288 |
Real period |
R |
1.9439748494526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999996105887 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123354bl2 |
Quadratic twists by: -3 |