Atkin-Lehner |
2+ 3- 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
119520j |
Isogeny class |
Conductor |
119520 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
1633689000000 = 26 · 39 · 56 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -2 0 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26517,-1660876] |
[a1,a2,a3,a4,a6] |
Generators |
[208:1350:1] |
Generators of the group modulo torsion |
j |
44196652398016/35015625 |
j-invariant |
L |
7.3718898654206 |
L(r)(E,1)/r! |
Ω |
0.37414428218849 |
Real period |
R |
1.6419445365683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999255128 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119520v1 39840h1 |
Quadratic twists by: -4 -3 |