Atkin-Lehner |
3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
81225b |
Isogeny class |
Conductor |
81225 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
106704 |
Modular degree for the optimal curve |
Δ |
-11463905052675 = -1 · 33 · 52 · 198 |
Discriminant |
Eigenvalues |
0 3+ 5+ 4 0 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,0,162901] |
[a1,a2,a3,a4,a6] |
Generators |
[722:7577:8] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
6.1559432484775 |
L(r)(E,1)/r! |
Ω |
0.56920879987601 |
Real period |
R |
1.8024853823159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000147 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81225b2 81225g1 81225d1 |
Quadratic twists by: -3 5 -19 |