Atkin-Lehner |
2- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
67600cr |
Isogeny class |
Conductor |
67600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-1124864000000 = -1 · 215 · 56 · 133 |
Discriminant |
Eigenvalues |
2- -1 5+ -3 0 13- 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1192,48112] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:208:1] |
Generators of the group modulo torsion |
j |
1331/8 |
j-invariant |
L |
4.3662272427199 |
L(r)(E,1)/r! |
Ω |
0.62929134029794 |
Real period |
R |
0.86729050665543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996174 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8450h1 2704n1 67600cq1 |
Quadratic twists by: -4 5 13 |