Atkin-Lehner |
7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
11011q |
Isogeny class |
Conductor |
11011 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2112 |
Modular degree for the optimal curve |
Δ |
77077 = 72 · 112 · 13 |
Discriminant |
Eigenvalues |
1 3 -2 7- 11- 13- -1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-28,-49] |
[a1,a2,a3,a4,a6] |
j |
20469537/637 |
j-invariant |
L |
4.1518606981555 |
L(r)(E,1)/r! |
Ω |
2.0759303490778 |
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 |
99099cc1 77077m1 11011d1 |
Quadratic twists by: -3 -7 -11 |