Atkin-Lehner |
2+ 3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
29406m |
Isogeny class |
Conductor |
29406 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
269568 |
Modular degree for the optimal curve |
Δ |
-109589102256451584 = -1 · 212 · 3 · 139 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 0 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,68610,14352496] |
[a1,a2,a3,a4,a6] |
j |
3368254499/10334208 |
j-invariant |
L |
1.8840366561234 |
L(r)(E,1)/r! |
Ω |
0.23550458201541 |
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 |
88218ch1 29406be1 |
Quadratic twists by: -3 13 |