Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
7644k |
Isogeny class |
Conductor |
7644 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-46764065712 = -1 · 24 · 3 · 78 · 132 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1437,-23892] |
[a1,a2,a3,a4,a6] |
Generators |
[107:1029:1] |
Generators of the group modulo torsion |
j |
-174456832/24843 |
j-invariant |
L |
5.6711531066967 |
L(r)(E,1)/r! |
Ω |
0.38464924080592 |
Real period |
R |
2.4572833745078 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30576cd1 122304y1 22932x1 1092d1 |
Quadratic twists by: -4 8 -3 -7 |