Atkin-Lehner |
2+ 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
42432s |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
24276850832572416 = 218 · 38 · 132 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-88897,-6949345] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:765:1] |
Generators of the group modulo torsion |
j |
296380748763217/92608836489 |
j-invariant |
L |
8.1426039637488 |
L(r)(E,1)/r! |
Ω |
0.28326380341103 |
Real period |
R |
1.7966035250737 |
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 |
42432bl4 663b3 127296h4 |
Quadratic twists by: -4 8 -3 |