Atkin-Lehner |
2- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
12826f |
Isogeny class |
Conductor |
12826 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-45444082772 = -1 · 22 · 118 · 53 |
Discriminant |
Eigenvalues |
2- 1 0 2 11- -1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-63,10253] |
[a1,a2,a3,a4,a6] |
Generators |
[142:1623:1] |
Generators of the group modulo torsion |
j |
-15625/25652 |
j-invariant |
L |
8.4330634344265 |
L(r)(E,1)/r! |
Ω |
0.91480200617411 |
Real period |
R |
2.3046143803552 |
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 |
102608q1 115434s1 1166a1 |
Quadratic twists by: -4 -3 -11 |