Atkin-Lehner |
2- 3- 5- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
108150cn |
Isogeny class |
Conductor |
108150 |
Conductor |
∏ cp |
672 |
Product of Tamagawa factors cp |
deg |
1720320 |
Modular degree for the optimal curve |
Δ |
224049015816192000 = 228 · 33 · 53 · 74 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-668233,208959257] |
[a1,a2,a3,a4,a6] |
Generators |
[-838:13859:1] |
Generators of the group modulo torsion |
j |
263996091298321455653/1792392126529536 |
j-invariant |
L |
13.079410217817 |
L(r)(E,1)/r! |
Ω |
0.31625122053564 |
Real period |
R |
0.24617654286801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012801 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108150u1 |
Quadratic twists by: 5 |