Atkin-Lehner |
2+ 5- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
106930j |
Isogeny class |
Conductor |
106930 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
71447204240 = 24 · 5 · 176 · 37 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1499,18645] |
[a1,a2,a3,a4,a6] |
Generators |
[-338:747:8] |
Generators of the group modulo torsion |
j |
15438249/2960 |
j-invariant |
L |
5.6512565797429 |
L(r)(E,1)/r! |
Ω |
1.0388060303963 |
Real period |
R |
2.7200730618686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999649062 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
370a1 |
Quadratic twists by: 17 |