Atkin-Lehner |
2- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
8450w |
Isogeny class |
Conductor |
8450 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
274625000000 = 26 · 59 · 133 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 0 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1713,-10583] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:139:1] |
Generators of the group modulo torsion |
j |
16194277/8000 |
j-invariant |
L |
4.3991962191853 |
L(r)(E,1)/r! |
Ω |
0.78061705283317 |
Real period |
R |
0.46962807640644 |
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 |
67600ct1 76050by1 1690d1 8450i1 |
Quadratic twists by: -4 -3 5 13 |