Atkin-Lehner |
2- 3- 5+ 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
37230z |
Isogeny class |
Conductor |
37230 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
144768 |
Modular degree for the optimal curve |
Δ |
-27013868789760 = -1 · 213 · 312 · 5 · 17 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -3 6 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13671,662985] |
[a1,a2,a3,a4,a6] |
Generators |
[126:909:1] |
Generators of the group modulo torsion |
j |
-282570322645337329/27013868789760 |
j-invariant |
L |
8.9218949029452 |
L(r)(E,1)/r! |
Ω |
0.6515510655757 |
Real period |
R |
0.087777669341544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111690y1 |
Quadratic twists by: -3 |