Atkin-Lehner |
2+ 3+ 5+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
42570b |
Isogeny class |
Conductor |
42570 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-6267190394041699320 = -1 · 23 · 33 · 5 · 1112 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11- 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4760430,4000770540] |
[a1,a2,a3,a4,a6] |
Generators |
[80494134:-818392513:74088] |
Generators of the group modulo torsion |
j |
-441874103057017909587387/232118162742285160 |
j-invariant |
L |
4.3902528622523 |
L(r)(E,1)/r! |
Ω |
0.23520856121741 |
Real period |
R |
13.999021250116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999924 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
42570q4 |
Quadratic twists by: -3 |