Atkin-Lehner |
2- 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17360bb |
Isogeny class |
Conductor |
17360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
32834200698880 = 215 · 5 · 7 · 315 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 3 -1 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-82390320,287819995988] |
[a1,a2,a3,a4,a6] |
Generators |
[4258:119248:1] |
Generators of the group modulo torsion |
j |
15100535141642459644213681/8016162280 |
j-invariant |
L |
6.13529217328 |
L(r)(E,1)/r! |
Ω |
0.28050995641025 |
Real period |
R |
5.4679807552955 |
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 |
2170q2 69440cf2 86800bu2 121520bx2 |
Quadratic twists by: -4 8 5 -7 |