Atkin-Lehner |
2- 7- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
54782bn |
Isogeny class |
Conductor |
54782 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
1881600 |
Modular degree for the optimal curve |
Δ |
-1611654209798284288 = -1 · 210 · 77 · 13 · 435 |
Discriminant |
Eigenvalues |
2- 0 -2 7- -1 13- -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18685351,31093247455] |
[a1,a2,a3,a4,a6] |
Generators |
[2323:13630:1] |
Generators of the group modulo torsion |
j |
-6132523645337085572913/13698834752512 |
j-invariant |
L |
6.9902795602703 |
L(r)(E,1)/r! |
Ω |
0.23020996724393 |
Real period |
R |
0.30364799769475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999583 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7826g1 |
Quadratic twists by: -7 |