Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200ce |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1880064 |
Modular degree for the optimal curve |
Δ |
6029701370784000 = 28 · 36 · 53 · 76 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2667068,-1677368532] |
[a1,a2,a3,a4,a6] |
Generators |
[2422:77952:1] |
Generators of the group modulo torsion |
j |
65565618540844760336/188428167837 |
j-invariant |
L |
9.232642430374 |
L(r)(E,1)/r! |
Ω |
0.1181384024769 |
Real period |
R |
6.5125890813735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999887687 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54600q1 109200bl1 |
Quadratic twists by: -4 5 |