Atkin-Lehner |
2- 7+ 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
25564a |
Isogeny class |
Conductor |
25564 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5856 |
Modular degree for the optimal curve |
Δ |
1124816 = 24 · 7 · 112 · 83 |
Discriminant |
Eigenvalues |
2- -2 2 7+ 11- -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-197,1000] |
[a1,a2,a3,a4,a6] |
j |
53113520128/70301 |
j-invariant |
L |
1.372005140234 |
L(r)(E,1)/r! |
Ω |
2.7440102804677 |
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 |
102256h1 |
Quadratic twists by: -4 |