Atkin-Lehner |
2- 3+ 41- 73- |
Signs for the Atkin-Lehner involutions |
Class |
17958j |
Isogeny class |
Conductor |
17958 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
20045143316280384 = 26 · 38 · 412 · 734 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-582774,-171344589] |
[a1,a2,a3,a4,a6] |
Generators |
[-433:435:1] [24533:3828555:1] |
Generators of the group modulo torsion |
j |
21888916380608074452577/20045143316280384 |
j-invariant |
L |
7.9755369042123 |
L(r)(E,1)/r! |
Ω |
0.17280184910513 |
Real period |
R |
7.6923722609787 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
53874a4 |
Quadratic twists by: -3 |