Atkin-Lehner |
2+ 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
11696f |
Isogeny class |
Conductor |
11696 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-187136 = -1 · 28 · 17 · 43 |
Discriminant |
Eigenvalues |
2+ -3 1 -4 0 -3 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7,22] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:4:1] [1:4:1] |
Generators of the group modulo torsion |
j |
-148176/731 |
j-invariant |
L |
4.0474639127041 |
L(r)(E,1)/r! |
Ω |
2.7703522749648 |
Real period |
R |
0.73049625300042 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999956 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5848h1 46784bf1 105264d1 |
Quadratic twists by: -4 8 -3 |