Atkin-Lehner |
2- 3+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
23664n |
Isogeny class |
Conductor |
23664 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-889387776 = -1 · 28 · 35 · 17 · 292 |
Discriminant |
Eigenvalues |
2- 3+ -3 2 -3 -5 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,203,841] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:14:1] [0:29:1] |
Generators of the group modulo torsion |
j |
3596091392/3474171 |
j-invariant |
L |
5.9053849582663 |
L(r)(E,1)/r! |
Ω |
1.0358105252705 |
Real period |
R |
1.4253053078227 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5916d1 94656ca1 70992u1 |
Quadratic twists by: -4 8 -3 |