Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
17760w |
Isogeny class |
Conductor |
17760 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-7992000000000 = -1 · 212 · 33 · 59 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -2 1 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16141,-806341] |
[a1,a2,a3,a4,a6] |
Generators |
[677:17292:1] |
Generators of the group modulo torsion |
j |
-113548651969024/1951171875 |
j-invariant |
L |
6.155394535854 |
L(r)(E,1)/r! |
Ω |
0.21156398357704 |
Real period |
R |
4.8491197412882 |
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 |
17760s1 35520ce1 53280p1 88800f1 |
Quadratic twists by: -4 8 -3 5 |