Atkin-Lehner |
2- 3+ 17- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
42024h |
Isogeny class |
Conductor |
42024 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
342144 |
Modular degree for the optimal curve |
Δ |
-508320766034812656 = -1 · 24 · 32 · 1711 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 1 2 3 1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-66100,34942729] |
[a1,a2,a3,a4,a6] |
Generators |
[1261:44217:1] |
Generators of the group modulo torsion |
j |
-1996248846403814656/31770047877175791 |
j-invariant |
L |
6.0177248046165 |
L(r)(E,1)/r! |
Ω |
0.24818613476266 |
Real period |
R |
0.55106411549968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999945 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84048i1 126072d1 |
Quadratic twists by: -4 -3 |