Atkin-Lehner |
2- 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
6916c |
Isogeny class |
Conductor |
6916 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
600 |
Modular degree for the optimal curve |
Δ |
359632 = 24 · 7 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 0 0 7+ 4 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40,93] |
[a1,a2,a3,a4,a6] |
j |
442368000/22477 |
j-invariant |
L |
1.4924694268072 |
L(r)(E,1)/r! |
Ω |
2.9849388536144 |
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 |
27664r1 110656a1 62244q1 48412d1 |
Quadratic twists by: -4 8 -3 -7 |