Atkin-Lehner |
2+ 3+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
43296i |
Isogeny class |
Conductor |
43296 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-1242500554944 = -1 · 26 · 316 · 11 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -1 11- -6 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,946,-52764] |
[a1,a2,a3,a4,a6] |
j |
1461362576192/19414071171 |
j-invariant |
L |
1.691122107165 |
L(r)(E,1)/r! |
Ω |
0.42278052684242 |
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 |
43296ba1 86592be1 129888y1 |
Quadratic twists by: -4 8 -3 |