Atkin-Lehner |
2- 3+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712cx |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-56871936 = -1 · 210 · 33 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11+ 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,24,-360] |
[a1,a2,a3,a4,a6] |
Generators |
[22:104:1] |
Generators of the group modulo torsion |
j |
55296/2057 |
j-invariant |
L |
4.9449519383107 |
L(r)(E,1)/r! |
Ω |
0.95359854514034 |
Real period |
R |
2.5927849631812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001634 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712r1 26928f1 107712cz1 |
Quadratic twists by: -4 8 -3 |