Atkin-Lehner |
2+ 3+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
42432d |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-36298839343104 = -1 · 214 · 33 · 136 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 0 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6863,187825] |
[a1,a2,a3,a4,a6] |
j |
2181636984368/2215505331 |
j-invariant |
L |
1.718070817896 |
L(r)(E,1)/r! |
Ω |
0.42951770446514 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432cg2 5304l2 127296i2 |
Quadratic twists by: -4 8 -3 |