Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
9996o |
Isogeny class |
Conductor |
9996 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-542135537088768 = -1 · 28 · 32 · 712 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 -6 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12364,1234820] |
[a1,a2,a3,a4,a6] |
Generators |
[44:882:1] |
Generators of the group modulo torsion |
j |
-6940769488/18000297 |
j-invariant |
L |
4.5125486026218 |
L(r)(E,1)/r! |
Ω |
0.45908749679592 |
Real period |
R |
1.6382311411644 |
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 |
39984cj2 29988bf2 1428a2 |
Quadratic twists by: -4 -3 -7 |