Atkin-Lehner |
2- 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
28054g |
Isogeny class |
Conductor |
28054 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-221324561209856 = -1 · 29 · 137 · 832 |
Discriminant |
Eigenvalues |
2- 1 1 -3 -2 13+ 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6510,-744316] |
[a1,a2,a3,a4,a6] |
Generators |
[586:13734:1] |
Generators of the group modulo torsion |
j |
-6321363049/45853184 |
j-invariant |
L |
9.1938010459166 |
L(r)(E,1)/r! |
Ω |
0.23537795647261 |
Real period |
R |
1.0849926909629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2158a1 |
Quadratic twists by: 13 |