Atkin-Lehner |
2+ 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200bq |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
7098000000000 = 210 · 3 · 59 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 2 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21008,1157988] |
[a1,a2,a3,a4,a6] |
Generators |
[-102:1500:1] |
Generators of the group modulo torsion |
j |
64088267044/443625 |
j-invariant |
L |
8.8342345913665 |
L(r)(E,1)/r! |
Ω |
0.74982380662369 |
Real period |
R |
1.4727184100863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999962432 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54600j1 21840i1 |
Quadratic twists by: -4 5 |