Atkin-Lehner |
2- 3- 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
54384r |
Isogeny class |
Conductor |
54384 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
266112 |
Modular degree for the optimal curve |
Δ |
-838364169240576 = -1 · 223 · 36 · 113 · 103 |
Discriminant |
Eigenvalues |
2- 3- -2 -3 11+ 7 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-264,-1393164] |
[a1,a2,a3,a4,a6] |
Generators |
[126:768:1] |
Generators of the group modulo torsion |
j |
-498677257/204678752256 |
j-invariant |
L |
6.1935829807073 |
L(r)(E,1)/r! |
Ω |
0.22931099500473 |
Real period |
R |
1.1253972253865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6798e1 |
Quadratic twists by: -4 |