Atkin-Lehner |
2- 11+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
10582g |
Isogeny class |
Conductor |
10582 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3264 |
Modular degree for the optimal curve |
Δ |
-47375614 = -1 · 2 · 113 · 13 · 372 |
Discriminant |
Eigenvalues |
2- 0 3 -3 11+ 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-46,363] |
[a1,a2,a3,a4,a6] |
j |
-10546683057/47375614 |
j-invariant |
L |
3.5023761302214 |
L(r)(E,1)/r! |
Ω |
1.7511880651107 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84656ba1 95238bq1 116402g1 |
Quadratic twists by: -4 -3 -11 |