Atkin-Lehner |
2- 7- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
54782bd |
Isogeny class |
Conductor |
54782 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-4337749001324648 = -1 · 23 · 79 · 132 · 433 |
Discriminant |
Eigenvalues |
2- 1 -2 7- -5 13+ -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-133134,18952940] |
[a1,a2,a3,a4,a6] |
Generators |
[12162:185656:27] [202:-660:1] |
Generators of the group modulo torsion |
j |
-6467083933591/107493464 |
j-invariant |
L |
14.155860614466 |
L(r)(E,1)/r! |
Ω |
0.43780816130182 |
Real period |
R |
0.89815217065083 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54782bp1 |
Quadratic twists by: -7 |