Atkin-Lehner |
2- 11- |
Signs for the Atkin-Lehner involutions |
Class |
7744bj |
Isogeny class |
Conductor |
7744 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-150908652224 = -1 · 26 · 119 |
Discriminant |
Eigenvalues |
2- -3 -1 0 11- -6 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,242,18634] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:121:1] |
Generators of the group modulo torsion |
j |
13824/1331 |
j-invariant |
L |
2.1147359294796 |
L(r)(E,1)/r! |
Ω |
0.78783116576953 |
Real period |
R |
1.3421250779118 |
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 |
7744bi1 3872f1 69696fo1 704l1 |
Quadratic twists by: -4 8 -3 -11 |