Atkin-Lehner |
2- 3- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
112200ct |
Isogeny class |
Conductor |
112200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
41984 |
Modular degree for the optimal curve |
Δ |
-197472000 = -1 · 28 · 3 · 53 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,12,-672] |
[a1,a2,a3,a4,a6] |
j |
5488/6171 |
j-invariant |
L |
3.3300411989297 |
L(r)(E,1)/r! |
Ω |
0.83251027961689 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112200r1 |
Quadratic twists by: 5 |