Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304dg |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
55500209856 = 26 · 34 · 77 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6092,-184710] |
[a1,a2,a3,a4,a6] |
Generators |
[3452346:83297305:5832] |
Generators of the group modulo torsion |
j |
3321287488/7371 |
j-invariant |
L |
11.124938719262 |
L(r)(E,1)/r! |
Ω |
0.54045750515006 |
Real period |
R |
10.292149332637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015608 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304w1 61152m4 17472n1 |
Quadratic twists by: -4 8 -7 |