Atkin-Lehner |
2+ 3- 5- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
119850bj |
Isogeny class |
Conductor |
119850 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
1707264 |
Modular degree for the optimal curve |
Δ |
-6929820578880000 = -1 · 29 · 313 · 54 · 172 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 1 -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-233326,43545248] |
[a1,a2,a3,a4,a6] |
Generators |
[346:1892:1] |
Generators of the group modulo torsion |
j |
-2247659015559915625/11087712926208 |
j-invariant |
L |
7.5656363453812 |
L(r)(E,1)/r! |
Ω |
0.42246102038009 |
Real period |
R |
0.68878782817853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000156922 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119850cc1 |
Quadratic twists by: 5 |