Atkin-Lehner |
2- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
11440t |
Isogeny class |
Conductor |
11440 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-7733440000000 = -1 · 212 · 57 · 11 · 133 |
Discriminant |
Eigenvalues |
2- 0 5- 0 11- 13- -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,688,133616] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:325:1] |
Generators of the group modulo torsion |
j |
8792838144/1888046875 |
j-invariant |
L |
4.7357417080024 |
L(r)(E,1)/r! |
Ω |
0.57234502487261 |
Real period |
R |
0.39401322647134 |
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 |
715b1 45760ba1 102960dd1 57200bk1 |
Quadratic twists by: -4 8 -3 5 |