Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7644b |
Isogeny class |
Conductor |
7644 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-204265439030016 = -1 · 28 · 32 · 79 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 2 13+ 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,14635,87249] |
[a1,a2,a3,a4,a6] |
Generators |
[131:2058:1] |
Generators of the group modulo torsion |
j |
33554432/19773 |
j-invariant |
L |
3.9874790644433 |
L(r)(E,1)/r! |
Ω |
0.34269067931657 |
Real period |
R |
0.96964972230828 |
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 |
30576cm1 122304eb1 22932p1 7644i1 |
Quadratic twists by: -4 8 -3 -7 |