Atkin-Lehner |
2- 5- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
110110cq |
Isogeny class |
Conductor |
110110 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
1546966220800 = 214 · 52 · 74 · 112 · 13 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 11- 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5695,151845] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:578:1] |
Generators of the group modulo torsion |
j |
168820154437561/12784844800 |
j-invariant |
L |
9.8946889772091 |
L(r)(E,1)/r! |
Ω |
0.82868485613729 |
Real period |
R |
0.10660920961447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999733133 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110110z1 |
Quadratic twists by: -11 |