Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200bw |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
2555280000000 = 210 · 33 · 57 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7008,209988] |
[a1,a2,a3,a4,a6] |
Generators |
[18:300:1] |
Generators of the group modulo torsion |
j |
2379293284/159705 |
j-invariant |
L |
8.5066327341918 |
L(r)(E,1)/r! |
Ω |
0.79699463036805 |
Real period |
R |
0.44472448939835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015451 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54600c1 21840h1 |
Quadratic twists by: -4 5 |