Atkin-Lehner |
2- 3- 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
73326bo |
Isogeny class |
Conductor |
73326 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
399168 |
Modular degree for the optimal curve |
Δ |
-141462713773854 = -1 · 2 · 33 · 1110 · 101 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 11- 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-58869,-5532273] |
[a1,a2,a3,a4,a6] |
Generators |
[33299298827049200724:181487101005556281935:112284322753697856] |
Generators of the group modulo torsion |
j |
-869875897/5454 |
j-invariant |
L |
14.822625076202 |
L(r)(E,1)/r! |
Ω |
0.15319166011998 |
Real period |
R |
32.252898242183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73326o1 |
Quadratic twists by: -11 |