Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200ha |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
159694848000 = 217 · 33 · 53 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 4 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22913,1342497] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:1235:1] |
Generators of the group modulo torsion |
j |
81202348906/9747 |
j-invariant |
L |
5.083456436935 |
L(r)(E,1)/r! |
Ω |
0.98415584359255 |
Real period |
R |
2.582648097513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005339 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200ev2 22800bp2 91200ix2 |
Quadratic twists by: -4 8 5 |