Atkin-Lehner |
2+ 3- 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
50160n |
Isogeny class |
Conductor |
50160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
53248 |
Modular degree for the optimal curve |
Δ |
10834560000 = 210 · 34 · 54 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5576,158340] |
[a1,a2,a3,a4,a6] |
Generators |
[46:-36:1] [-56:546:1] |
Generators of the group modulo torsion |
j |
18727074353956/10580625 |
j-invariant |
L |
10.140180254632 |
L(r)(E,1)/r! |
Ω |
1.2649937238341 |
Real period |
R |
1.0019990676217 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25080l1 |
Quadratic twists by: -4 |