Atkin-Lehner |
3- 7+ 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
54747i |
Isogeny class |
Conductor |
54747 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82560 |
Modular degree for the optimal curve |
Δ |
-9252461385783 = -1 · 36 · 75 · 112 · 792 |
Discriminant |
Eigenvalues |
-1 3- -2 7+ 11- 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,544,146130] |
[a1,a2,a3,a4,a6] |
Generators |
[30:419:1] |
Generators of the group modulo torsion |
j |
24464768327/12691990927 |
j-invariant |
L |
2.6322592405389 |
L(r)(E,1)/r! |
Ω |
0.56782906519872 |
Real period |
R |
2.3178271436756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998779 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6083a1 |
Quadratic twists by: -3 |