Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
100672cu |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
6443008 = 212 · 112 · 13 |
Discriminant |
Eigenvalues |
2- -1 0 2 11- 13+ 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-73,233] |
[a1,a2,a3,a4,a6] |
Generators |
[7:4:1] |
Generators of the group modulo torsion |
j |
88000/13 |
j-invariant |
L |
5.9105792810384 |
L(r)(E,1)/r! |
Ω |
2.2808208616416 |
Real period |
R |
1.2957131755808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999964492 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100672cn1 50336k1 100672du1 |
Quadratic twists by: -4 8 -11 |