Atkin-Lehner |
2+ 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240cl |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-134136000 = -1 · 26 · 36 · 53 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 -2 4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-282,1906] |
[a1,a2,a3,a4,a6] |
Generators |
[17:45:1] |
Generators of the group modulo torsion |
j |
-53157376/2875 |
j-invariant |
L |
7.2600372732135 |
L(r)(E,1)/r! |
Ω |
1.8232314012254 |
Real period |
R |
0.66366025255939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999924 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66240cz1 33120bc1 7360e1 |
Quadratic twists by: -4 8 -3 |