Atkin-Lehner |
2+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
17696b |
Isogeny class |
Conductor |
17696 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
-283136 = -1 · 29 · 7 · 79 |
Discriminant |
Eigenvalues |
2+ 1 -2 7- 1 1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,16,-4] |
[a1,a2,a3,a4,a6] |
j |
830584/553 |
j-invariant |
L |
1.7550592734989 |
L(r)(E,1)/r! |
Ω |
1.7550592734989 |
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 |
17696d1 35392i1 123872c1 |
Quadratic twists by: -4 8 -7 |