Atkin-Lehner |
2- 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
20460j |
Isogeny class |
Conductor |
20460 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-56178628110000 = -1 · 24 · 312 · 54 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- -4 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5241,-390816] |
[a1,a2,a3,a4,a6] |
Generators |
[189:2325:1] |
Generators of the group modulo torsion |
j |
-995242860396544/3511164256875 |
j-invariant |
L |
6.4348871361406 |
L(r)(E,1)/r! |
Ω |
0.25748434704003 |
Real period |
R |
0.69420478156291 |
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 |
81840bo1 61380p1 102300k1 |
Quadratic twists by: -4 -3 5 |