Atkin-Lehner |
7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
11011n |
Isogeny class |
Conductor |
11011 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-3303221777986028899 = -1 · 73 · 1110 · 135 |
Discriminant |
Eigenvalues |
0 2 -1 7- 11- 13- -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1921641,-1028394830] |
[a1,a2,a3,a4,a6] |
j |
-442980486619070464/1864582578859 |
j-invariant |
L |
1.922929404976 |
L(r)(E,1)/r! |
Ω |
0.064097646832534 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99099bx1 77077j1 1001a1 |
Quadratic twists by: -3 -7 -11 |