Atkin-Lehner |
2+ 3- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
10494b |
Isogeny class |
Conductor |
10494 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2280 |
Modular degree for the optimal curve |
Δ |
-850014 = -1 · 2 · 36 · 11 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 3 4 11+ 1 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18,58] |
[a1,a2,a3,a4,a6] |
j |
-912673/1166 |
j-invariant |
L |
2.5426527450153 |
L(r)(E,1)/r! |
Ω |
2.5426527450153 |
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 |
83952p1 1166d1 115434bq1 |
Quadratic twists by: -4 -3 -11 |