Atkin-Lehner |
2- 3+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
42432bz |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
8.1612268833674E+19 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 2 13- 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4027049,-3078628215] |
[a1,a2,a3,a4,a6] |
j |
1763293530283953913792/19924870320721197 |
j-invariant |
L |
0.63988310441844 |
L(r)(E,1)/r! |
Ω |
0.10664718407496 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432cr2 21216n1 127296cx2 |
Quadratic twists by: -4 8 -3 |