Atkin-Lehner |
2- 11- |
Signs for the Atkin-Lehner involutions |
Class |
7744bi |
Isogeny class |
Conductor |
7744 |
Conductor |
∏ cp |
4 |
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 |
[5115:70543:27] |
Generators of the group modulo torsion |
j |
13824/1331 |
j-invariant |
L |
6.500101645804 |
L(r)(E,1)/r! |
Ω |
0.48809060137211 |
Real period |
R |
3.3293519827728 |
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 |
7744bj1 3872g1 69696fp1 704h1 |
Quadratic twists by: -4 8 -3 -11 |