Atkin-Lehner |
2- 3+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
42432by |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
138498048 = 212 · 32 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 -2 13- 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-137,297] |
[a1,a2,a3,a4,a6] |
j |
69934528/33813 |
j-invariant |
L |
3.2767345331657 |
L(r)(E,1)/r! |
Ω |
1.6383672666758 |
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 |
42432cq2 21216g1 127296dd2 |
Quadratic twists by: -4 8 -3 |