Atkin-Lehner |
5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
17395f |
Isogeny class |
Conductor |
17395 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
175104 |
Modular degree for the optimal curve |
Δ |
-17023840982421875 = -1 · 59 · 73 · 714 |
Discriminant |
Eigenvalues |
2 -1 5+ 7- -3 -5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-80236,-10740479] |
[a1,a2,a3,a4,a6] |
j |
-166549300832677888/49632189453125 |
j-invariant |
L |
0.55875761855747 |
L(r)(E,1)/r! |
Ω |
0.13968940463937 |
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 |
86975l1 17395k1 |
Quadratic twists by: 5 -7 |