Atkin-Lehner |
2- 31+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
10664d |
Isogeny class |
Conductor |
10664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7616 |
Modular degree for the optimal curve |
Δ |
-1695725296 = -1 · 24 · 31 · 434 |
Discriminant |
Eigenvalues |
2- -2 -3 -3 2 -6 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-292,-2859] |
[a1,a2,a3,a4,a6] |
Generators |
[22:43:1] |
Generators of the group modulo torsion |
j |
-172678690048/105982831 |
j-invariant |
L |
1.4892539504233 |
L(r)(E,1)/r! |
Ω |
0.56161305033896 |
Real period |
R |
0.33146798082871 |
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 |
21328c1 85312d1 95976h1 |
Quadratic twists by: -4 8 -3 |