Atkin-Lehner |
2+ 5+ 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
107120b |
Isogeny class |
Conductor |
107120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
53248 |
Modular degree for the optimal curve |
Δ |
-15061928960 = -1 · 210 · 5 · 134 · 103 |
Discriminant |
Eigenvalues |
2+ -1 5+ 0 -6 13+ 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,504,-4160] |
[a1,a2,a3,a4,a6] |
Generators |
[46:338:1] [16:88:1] |
Generators of the group modulo torsion |
j |
13799183324/14708915 |
j-invariant |
L |
8.1650941999332 |
L(r)(E,1)/r! |
Ω |
0.67431009054096 |
Real period |
R |
1.5136015156063 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996106 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53560d1 |
Quadratic twists by: -4 |