Atkin-Lehner |
2+ 3- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
21672c |
Isogeny class |
Conductor |
21672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
888592035614201856 = 211 · 36 · 712 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-369459,-73582290] |
[a1,a2,a3,a4,a6] |
Generators |
[57659932597979530:-747042175284049000:74794067166637] |
Generators of the group modulo torsion |
j |
3735639705005154/595175349643 |
j-invariant |
L |
5.5409834614907 |
L(r)(E,1)/r! |
Ω |
0.19572939010314 |
Real period |
R |
28.309409530019 |
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 |
43344j3 2408c3 |
Quadratic twists by: -4 -3 |