Atkin-Lehner |
2- 3+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
120384ca |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-8155355332608 = -1 · 214 · 39 · 113 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11+ 1 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9936,405216] |
[a1,a2,a3,a4,a6] |
j |
-336393216/25289 |
j-invariant |
L |
1.4472295035113 |
L(r)(E,1)/r! |
Ω |
0.72361454473361 |
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 |
120384i1 30096b1 120384ch1 |
Quadratic twists by: -4 8 -3 |