Atkin-Lehner |
2- 7+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
13804a |
Isogeny class |
Conductor |
13804 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-4340419328 = -1 · 28 · 7 · 174 · 29 |
Discriminant |
Eigenvalues |
2- 1 0 7+ 2 4 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-813,-9745] |
[a1,a2,a3,a4,a6] |
j |
-232428544000/16954763 |
j-invariant |
L |
2.6707608288214 |
L(r)(E,1)/r! |
Ω |
0.44512680480357 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55216r1 124236o1 96628l1 |
Quadratic twists by: -4 -3 -7 |