Atkin-Lehner |
2- 3+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
51984bl |
Isogeny class |
Conductor |
51984 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
525312 |
Modular degree for the optimal curve |
Δ |
-7336899233712 = -1 · 24 · 33 · 198 |
Discriminant |
Eigenvalues |
2- 3+ 4 3 -4 5 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-493848,-133579025] |
[a1,a2,a3,a4,a6] |
j |
-1815478272 |
j-invariant |
L |
4.8625600713237 |
L(r)(E,1)/r! |
Ω |
0.090047408746288 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12996c1 51984bm1 51984bu1 |
Quadratic twists by: -4 -3 -19 |