Atkin-Lehner |
2+ 5- 29- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
59450j |
Isogeny class |
Conductor |
59450 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1529280 |
Modular degree for the optimal curve |
Δ |
-4877551232200000000 = -1 · 29 · 58 · 296 · 41 |
Discriminant |
Eigenvalues |
2+ -2 5- 5 0 -1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,336674,75108048] |
[a1,a2,a3,a4,a6] |
Generators |
[349914688:13949714659:262144] |
Generators of the group modulo torsion |
j |
10804241130540935/12486531154432 |
j-invariant |
L |
3.5113786613917 |
L(r)(E,1)/r! |
Ω |
0.16226707821857 |
Real period |
R |
10.8197506849 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
59450p1 |
Quadratic twists by: 5 |