Atkin-Lehner |
2+ 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
18480ba |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
581986944000 = 210 · 310 · 53 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2560,32900] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:270:1] |
Generators of the group modulo torsion |
j |
1812647208964/568346625 |
j-invariant |
L |
6.2041162067009 |
L(r)(E,1)/r! |
Ω |
0.84992205502954 |
Real period |
R |
0.24332098729866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9240j1 73920em1 55440n1 92400q1 |
Quadratic twists by: -4 8 -3 5 |