Atkin-Lehner |
2- 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
37200bs |
Isogeny class |
Conductor |
37200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-1785600000000 = -1 · 214 · 32 · 58 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -2 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,992,-63488] |
[a1,a2,a3,a4,a6] |
Generators |
[82:-750:1] [37:150:1] |
Generators of the group modulo torsion |
j |
1685159/27900 |
j-invariant |
L |
6.7980463535061 |
L(r)(E,1)/r! |
Ω |
0.40827086740537 |
Real period |
R |
2.081352998779 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4650bq1 111600en1 7440z1 |
Quadratic twists by: -4 -3 5 |