Atkin-Lehner |
2- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
29584j |
Isogeny class |
Conductor |
29584 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
346752 |
Modular degree for the optimal curve |
Δ |
765997893392859136 = 216 · 438 |
Discriminant |
Eigenvalues |
2- -1 3 1 0 -1 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-503544,-130759568] |
[a1,a2,a3,a4,a6] |
j |
294937/16 |
j-invariant |
L |
2.877232259168 |
L(r)(E,1)/r! |
Ω |
0.17982701619813 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3698a1 118336x1 29584l1 |
Quadratic twists by: -4 8 -43 |