Atkin-Lehner |
2+ 5+ 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
123970c |
Isogeny class |
Conductor |
123970 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23143680 |
Modular degree for the optimal curve |
Δ |
-3.3763967046179E+24 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 11+ 1 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,24421722,-75208600172] |
[a1,a2,a3,a4,a6] |
Generators |
[156566505368772995198736176731:196774624592563378050823338475845:99041562812684563189867] |
Generators of the group modulo torsion |
j |
5702589812316689159/11952893984768000 |
j-invariant |
L |
3.9941704700571 |
L(r)(E,1)/r! |
Ω |
0.041282529331175 |
Real period |
R |
48.376038662932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123970j1 |
Quadratic twists by: -7 |