Atkin-Lehner |
2- 3- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
17808r |
Isogeny class |
Conductor |
17808 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-234853613568 = -1 · 214 · 36 · 7 · 532 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1136,18452] |
[a1,a2,a3,a4,a6] |
Generators |
[2:144:1] |
Generators of the group modulo torsion |
j |
39547260143/57337308 |
j-invariant |
L |
4.8689236399342 |
L(r)(E,1)/r! |
Ω |
0.67147073621588 |
Real period |
R |
0.60426108656317 |
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 |
2226i1 71232cc1 53424be1 124656ce1 |
Quadratic twists by: -4 8 -3 -7 |