Atkin-Lehner |
2+ 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
106134bf |
Isogeny class |
Conductor |
106134 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
56448 |
Modular degree for the optimal curve |
Δ |
-1083203604 = -1 · 22 · 37 · 73 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -3 -2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1034,12800] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:127:1] [18:-20:1] |
Generators of the group modulo torsion |
j |
-986007223/8748 |
j-invariant |
L |
9.7381381761117 |
L(r)(E,1)/r! |
Ω |
1.5589476524853 |
Real period |
R |
0.22309321842606 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998893 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106134j2 106134bw1 |
Quadratic twists by: -7 -19 |