Atkin-Lehner |
2+ 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
5256h |
Isogeny class |
Conductor |
5256 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
89384124672 = 28 · 314 · 73 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1191,6586] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:144:1] |
Generators of the group modulo torsion |
j |
1001132368/478953 |
j-invariant |
L |
4.0022735506899 |
L(r)(E,1)/r! |
Ω |
0.95691350523035 |
Real period |
R |
2.091241020643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10512k1 42048ba1 1752k1 |
Quadratic twists by: -4 8 -3 |