Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
113256bv |
Isogeny class |
Conductor |
113256 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
18347472 = 24 · 36 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3- -2 2 11- 13- 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-66,-11] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:13:1] |
Generators of the group modulo torsion |
j |
22528/13 |
j-invariant |
L |
7.3367145953382 |
L(r)(E,1)/r! |
Ω |
1.8272808524292 |
Real period |
R |
2.0075497935956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987288 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12584d1 113256p1 |
Quadratic twists by: -3 -11 |