Atkin-Lehner |
3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
17325j |
Isogeny class |
Conductor |
17325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
5372651689453125 = 310 · 510 · 7 · 113 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7+ 11+ -3 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-69375,6085156] |
[a1,a2,a3,a4,a6] |
j |
5186867200/754677 |
j-invariant |
L |
0.82401462931446 |
L(r)(E,1)/r! |
Ω |
0.41200731465723 |
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 |
5775e1 17325bs1 121275dn1 |
Quadratic twists by: -3 5 -7 |