Atkin-Lehner |
5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
10175g |
Isogeny class |
Conductor |
10175 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-43529921875 = -1 · 57 · 11 · 373 |
Discriminant |
Eigenvalues |
2 0 5+ -3 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1175,-18469] |
[a1,a2,a3,a4,a6] |
j |
-11481993216/2785915 |
j-invariant |
L |
2.4153668310681 |
L(r)(E,1)/r! |
Ω |
0.40256113851135 |
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 |
91575br1 2035d1 111925r1 |
Quadratic twists by: -3 5 -11 |