Atkin-Lehner |
2- 3+ 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
121200bu |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-116352000000 = -1 · 213 · 32 · 56 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -2 -2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13208,588912] |
[a1,a2,a3,a4,a6] |
Generators |
[77:-150:1] [68:24:1] |
Generators of the group modulo torsion |
j |
-3981876625/1818 |
j-invariant |
L |
9.6887659098519 |
L(r)(E,1)/r! |
Ω |
1.0347719994975 |
Real period |
R |
0.58519931908674 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999975193 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15150j1 4848o1 |
Quadratic twists by: -4 5 |