Atkin-Lehner |
2+ 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
16758b |
Isogeny class |
Conductor |
16758 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
1817748565532928 = 28 · 33 · 712 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -6 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6844917,-6891163595] |
[a1,a2,a3,a4,a6] |
j |
11165451838341046875/572244736 |
j-invariant |
L |
0.37335115378081 |
L(r)(E,1)/r! |
Ω |
0.093337788445202 |
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 |
16758r3 2394b1 |
Quadratic twists by: -3 -7 |