Atkin-Lehner |
2- 3- 5- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
61050cv |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
-1373625000000 = -1 · 26 · 33 · 59 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ -4 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-22638,-1314108] |
[a1,a2,a3,a4,a6] |
Generators |
[252:2874:1] |
Generators of the group modulo torsion |
j |
-656914788557/703296 |
j-invariant |
L |
11.486234162885 |
L(r)(E,1)/r! |
Ω |
0.19459517451613 |
Real period |
R |
1.6396195890542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000253 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61050j1 |
Quadratic twists by: 5 |