Atkin-Lehner |
5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
10175c |
Isogeny class |
Conductor |
10175 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
218603515625 = 511 · 112 · 37 |
Discriminant |
Eigenvalues |
-1 0 5+ 2 11+ -6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-60130,-5660128] |
[a1,a2,a3,a4,a6] |
Generators |
[959:28120:1] |
Generators of the group modulo torsion |
j |
1538758717863849/13990625 |
j-invariant |
L |
2.5579194105366 |
L(r)(E,1)/r! |
Ω |
0.30487903062162 |
Real period |
R |
4.1949743236215 |
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 |
91575bc1 2035a1 111925f1 |
Quadratic twists by: -3 5 -11 |