Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
25578bq |
Isogeny class |
Conductor |
25578 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-25334121023511552 = -1 · 210 · 36 · 79 · 292 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 4 0 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-133265,20263681] |
[a1,a2,a3,a4,a6] |
Generators |
[-173:6260:1] |
Generators of the group modulo torsion |
j |
-3051779837625/295386112 |
j-invariant |
L |
8.5726073308975 |
L(r)(E,1)/r! |
Ω |
0.36825781548461 |
Real period |
R |
0.58197049529121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2842a1 3654t1 |
Quadratic twists by: -3 -7 |