Atkin-Lehner |
3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
4263g |
Isogeny class |
Conductor |
4263 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-531048666040767 = -1 · 33 · 714 · 29 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-38417,-3106272] |
[a1,a2,a3,a4,a6] |
j |
-53297461115137/4513839183 |
j-invariant |
L |
2.0362102665467 |
L(r)(E,1)/r! |
Ω |
0.16968418887889 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68208bw1 12789f1 106575r1 609b1 |
Quadratic twists by: -4 -3 5 -7 |