Atkin-Lehner |
2+ 3+ 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
106800a |
Isogeny class |
Conductor |
106800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
320400000000 = 210 · 32 · 58 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7008,226512] |
[a1,a2,a3,a4,a6] |
Generators |
[72:-300:1] |
Generators of the group modulo torsion |
j |
2379293284/20025 |
j-invariant |
L |
6.8014078489749 |
L(r)(E,1)/r! |
Ω |
0.9703837623872 |
Real period |
R |
0.87612345993629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020622 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53400h1 21360d1 |
Quadratic twists by: -4 5 |