Atkin-Lehner |
2+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
12826d |
Isogeny class |
Conductor |
12826 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9120 |
Modular degree for the optimal curve |
Δ |
-2065640126 = -1 · 2 · 117 · 53 |
Discriminant |
Eigenvalues |
2+ -1 -3 -4 11- -1 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-244,2534] |
[a1,a2,a3,a4,a6] |
Generators |
[17:52:1] |
Generators of the group modulo torsion |
j |
-912673/1166 |
j-invariant |
L |
0.99333190069292 |
L(r)(E,1)/r! |
Ω |
1.3278570892847 |
Real period |
R |
0.18701784791238 |
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 |
102608z1 115434bq1 1166d1 |
Quadratic twists by: -4 -3 -11 |