Atkin-Lehner |
2+ 3+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
86592w |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
863965752950784 = 215 · 3 · 118 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24769,-493151] |
[a1,a2,a3,a4,a6] |
Generators |
[248:2925:1] |
Generators of the group modulo torsion |
j |
51288114128264/26366142363 |
j-invariant |
L |
4.6505428200272 |
L(r)(E,1)/r! |
Ω |
0.40224478875466 |
Real period |
R |
5.7807371910122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990053 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
86592bi4 43296o3 |
Quadratic twists by: -4 8 |