Atkin-Lehner |
2- 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
9112d |
Isogeny class |
Conductor |
9112 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-309808 = -1 · 24 · 172 · 67 |
Discriminant |
Eigenvalues |
2- 2 0 2 -2 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,17,0] |
[a1,a2,a3,a4,a6] |
Generators |
[153:1887:1] |
Generators of the group modulo torsion |
j |
32000000/19363 |
j-invariant |
L |
6.1635441232186 |
L(r)(E,1)/r! |
Ω |
1.8804475483109 |
Real period |
R |
3.277700635019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18224e1 72896k1 82008e1 |
Quadratic twists by: -4 8 -3 |