Atkin-Lehner |
2+ 3- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
38592r |
Isogeny class |
Conductor |
38592 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-6356463689763127296 = -1 · 230 · 39 · 673 |
Discriminant |
Eigenvalues |
2+ 3- -3 -1 0 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,461076,-13872976] |
[a1,a2,a3,a4,a6] |
j |
56724909592967/33261981696 |
j-invariant |
L |
2.2403530128507 |
L(r)(E,1)/r! |
Ω |
0.14002206330554 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38592ch2 1206f2 12864c2 |
Quadratic twists by: -4 8 -3 |