Atkin-Lehner |
3- 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
19215i |
Isogeny class |
Conductor |
19215 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3.4087769572172E+28 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-502667145,-9885385226354] |
[a1,a2,a3,a4,a6] |
Generators |
[33440343313587251393351242194093737924865621152892402857674996628969247730278092090492207940388113084:33783676621003150937824558907175508267382276137764364272008594451855724930507244552215011995554007183351:32715627006607776636695805575386680634756117705682288438894516023417389249552921888718391767232] |
Generators of the group modulo torsion |
j |
-19268046447346732902736479121/46759629042760365776953125 |
j-invariant |
L |
4.4944986024566 |
L(r)(E,1)/r! |
Ω |
0.014867270333637 |
Real period |
R |
151.15412922465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6405e6 96075bn5 |
Quadratic twists by: -3 5 |