Atkin-Lehner |
2- 3- 7+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
96642bw |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-407056104 = -1 · 23 · 36 · 7 · 132 · 59 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ -4 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-158,-1195] |
[a1,a2,a3,a4,a6] |
Generators |
[126:-13:8] [27:-131:1] |
Generators of the group modulo torsion |
j |
-594823321/558376 |
j-invariant |
L |
14.963187653057 |
L(r)(E,1)/r! |
Ω |
0.64863216473985 |
Real period |
R |
1.9224028228854 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992884 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10738c1 |
Quadratic twists by: -3 |