Atkin-Lehner |
2- 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
60192p |
Isogeny class |
Conductor |
60192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-701827105167733248 = -1 · 29 · 322 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11+ -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4113651,-3211615046] |
[a1,a2,a3,a4,a6] |
Generators |
[1335008728946:2247585511842:569722789] |
Generators of the group modulo torsion |
j |
-20625693207826202504/1880323820001 |
j-invariant |
L |
3.1618107329359 |
L(r)(E,1)/r! |
Ω |
0.053004204723019 |
Real period |
R |
14.913018454924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000139 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60192i2 120384bt2 20064h2 |
Quadratic twists by: -4 8 -3 |