Atkin-Lehner |
2- 5- 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
45650ba |
Isogeny class |
Conductor |
45650 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
27840 |
Modular degree for the optimal curve |
Δ |
-1285504000 = -1 · 210 · 53 · 112 · 83 |
Discriminant |
Eigenvalues |
2- -2 5- 2 11+ 6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-578,5572] |
[a1,a2,a3,a4,a6] |
Generators |
[12:-26:1] |
Generators of the group modulo torsion |
j |
-170861484149/10284032 |
j-invariant |
L |
6.8072773384364 |
L(r)(E,1)/r! |
Ω |
1.507384312668 |
Real period |
R |
0.45159534176097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999881 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45650n1 |
Quadratic twists by: 5 |