Atkin-Lehner |
2- 5+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
78320bg |
Isogeny class |
Conductor |
78320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
17643929600 = 216 · 52 · 112 · 89 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 11- -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-976,10176] |
[a1,a2,a3,a4,a6] |
j |
25128011089/4307600 |
j-invariant |
L |
4.6906139708928 |
L(r)(E,1)/r! |
Ω |
1.1726534937196 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9790j1 |
Quadratic twists by: -4 |