Atkin-Lehner |
2- 3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
85260f |
Isogeny class |
Conductor |
85260 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
519449747250000 = 24 · 3 · 56 · 77 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-286421,59085846] |
[a1,a2,a3,a4,a6] |
Generators |
[-569:6125:1] [181:3625:1] |
Generators of the group modulo torsion |
j |
1380484630183936/275953125 |
j-invariant |
L |
8.5058676912643 |
L(r)(E,1)/r! |
Ω |
0.5066496620087 |
Real period |
R |
1.3990383508582 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000083 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12180i1 |
Quadratic twists by: -7 |