Atkin-Lehner |
2- 7- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89782bh |
Isogeny class |
Conductor |
89782 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
563112704 = 28 · 73 · 112 · 53 |
Discriminant |
Eigenvalues |
2- -2 -3 7- 11- -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-217,441] |
[a1,a2,a3,a4,a6] |
Generators |
[0:-21:1] [-8:45:1] |
Generators of the group modulo torsion |
j |
9342059353/4653824 |
j-invariant |
L |
9.727114804356 |
L(r)(E,1)/r! |
Ω |
1.4514343030554 |
Real period |
R |
0.27923857752903 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000048 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89782f1 |
Quadratic twists by: -11 |