Atkin-Lehner |
2- 3- 5+ 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
37230y |
Isogeny class |
Conductor |
37230 |
Conductor |
∏ cp |
414 |
Product of Tamagawa factors cp |
deg |
2344896 |
Modular degree for the optimal curve |
Δ |
-1.4694248141648E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 2 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1112481,1898701641] |
[a1,a2,a3,a4,a6] |
Generators |
[11718:1258227:1] |
Generators of the group modulo torsion |
j |
-152265510819472588141969/1469424814164787944960 |
j-invariant |
L |
8.8141108816332 |
L(r)(E,1)/r! |
Ω |
0.12908669090428 |
Real period |
R |
0.16492887650423 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111690x1 |
Quadratic twists by: -3 |