Atkin-Lehner |
2- 11- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
10582p |
Isogeny class |
Conductor |
10582 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
316800 |
Modular degree for the optimal curve |
Δ |
-353034091700560556 = -1 · 22 · 113 · 1311 · 37 |
Discriminant |
Eigenvalues |
2- 3 -3 0 11- 13- -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,175896,3267319] |
[a1,a2,a3,a4,a6] |
Generators |
[1443:95933:27] |
Generators of the group modulo torsion |
j |
601857832933580053167/353034091700560556 |
j-invariant |
L |
9.3806232754816 |
L(r)(E,1)/r! |
Ω |
0.18367070105356 |
Real period |
R |
0.77383412201204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84656v1 95238bc1 116402n1 |
Quadratic twists by: -4 -3 -11 |