Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
13050o |
Isogeny class |
Conductor |
13050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
120404601562500 = 22 · 312 · 59 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12942,-202784] |
[a1,a2,a3,a4,a6] |
Generators |
[-97:413:1] |
Generators of the group modulo torsion |
j |
21047437081/10570500 |
j-invariant |
L |
4.1265393313133 |
L(r)(E,1)/r! |
Ω |
0.4717270703658 |
Real period |
R |
2.1869315916688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104400fa1 4350p1 2610l1 |
Quadratic twists by: -4 -3 5 |