Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600du |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-970818048000000 = -1 · 215 · 38 · 56 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44833,3934463] |
[a1,a2,a3,a4,a6] |
Generators |
[59:1224:1] |
Generators of the group modulo torsion |
j |
-19465109000/1896129 |
j-invariant |
L |
8.5510584573249 |
L(r)(E,1)/r! |
Ω |
0.48321145234415 |
Real period |
R |
0.55300960993625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000518 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600bd2 40800h2 3264c2 |
Quadratic twists by: -4 8 5 |