Atkin-Lehner |
2+ 3+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42432i |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-10500368007168 = -1 · 215 · 38 · 132 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -2 -4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5375,-37919] |
[a1,a2,a3,a4,a6] |
Generators |
[23:312:1] [24:323:1] |
Generators of the group modulo torsion |
j |
523996494328/320445801 |
j-invariant |
L |
5.5295300039411 |
L(r)(E,1)/r! |
Ω |
0.41808015327958 |
Real period |
R |
3.3065011341526 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432bc2 21216f2 127296bx2 |
Quadratic twists by: -4 8 -3 |