Atkin-Lehner |
2+ 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
42432t |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7201898496 = 214 · 32 · 132 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 4 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3537,79695] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:360:1] |
Generators of the group modulo torsion |
j |
298766385232/439569 |
j-invariant |
L |
7.6723244630802 |
L(r)(E,1)/r! |
Ω |
1.3231513410523 |
Real period |
R |
2.8992618701427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
42432bn2 5304k2 127296j2 |
Quadratic twists by: -4 8 -3 |