Atkin-Lehner |
2- 3- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
35376bj |
Isogeny class |
Conductor |
35376 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-9056256 = -1 · 212 · 3 · 11 · 67 |
Discriminant |
Eigenvalues |
2- 3- -3 -3 11- -3 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-197,1011] |
[a1,a2,a3,a4,a6] |
Generators |
[6:9:1] |
Generators of the group modulo torsion |
j |
-207474688/2211 |
j-invariant |
L |
4.5489374712083 |
L(r)(E,1)/r! |
Ω |
2.3212506910726 |
Real period |
R |
1.9596924574772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2211c1 106128bm1 |
Quadratic twists by: -4 -3 |