Atkin-Lehner |
2- 3+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
42432bn |
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 |
[1402:17255:8] |
Generators of the group modulo torsion |
j |
298766385232/439569 |
j-invariant |
L |
6.5789274747316 |
L(r)(E,1)/r! |
Ω |
0.61911158667617 |
Real period |
R |
5.3132000888958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
42432t2 10608l2 127296ci2 |
Quadratic twists by: -4 8 -3 |