Atkin-Lehner |
2+ 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113568bh |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
-2747437056 = -1 · 212 · 34 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ -6 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3137,66639] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:12:1] [55:-252:1] |
Generators of the group modulo torsion |
j |
-4933544512/3969 |
j-invariant |
L |
10.688124983068 |
L(r)(E,1)/r! |
Ω |
1.4247192115894 |
Real period |
R |
0.23443489991202 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999984793 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113568cd1 113568cx1 |
Quadratic twists by: -4 13 |