Atkin-Lehner |
2+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
15842a |
Isogeny class |
Conductor |
15842 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
503883367129866368 = 27 · 898 |
Discriminant |
Eigenvalues |
2+ -2 2 0 0 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5422090,4859001468] |
[a1,a2,a3,a4,a6] |
Generators |
[106588844934:-44632819379:78953589] |
Generators of the group modulo torsion |
j |
35471840526793/1013888 |
j-invariant |
L |
2.9382301807577 |
L(r)(E,1)/r! |
Ω |
0.2735202468491 |
Real period |
R |
10.742276722128 |
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 |
126736g2 178b2 |
Quadratic twists by: -4 89 |