Atkin-Lehner |
2- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
49600ce |
Isogeny class |
Conductor |
49600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-155000000 = -1 · 26 · 57 · 31 |
Discriminant |
Eigenvalues |
2- 1 5+ 0 -4 -6 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-133,-887] |
[a1,a2,a3,a4,a6] |
Generators |
[48:325:1] |
Generators of the group modulo torsion |
j |
-262144/155 |
j-invariant |
L |
5.483650169848 |
L(r)(E,1)/r! |
Ω |
0.68393403018373 |
Real period |
R |
2.0044514265324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000045 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49600h1 12400w1 9920bg1 |
Quadratic twists by: -4 8 5 |