Atkin-Lehner |
2- 3- 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
63756u |
Isogeny class |
Conductor |
63756 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
273600 |
Modular degree for the optimal curve |
Δ |
-445110809674608 = -1 · 24 · 36 · 72 · 112 · 235 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- 3 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32961,2517041] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:-1771:1] |
Generators of the group modulo torsion |
j |
-339529363149568/38161077647 |
j-invariant |
L |
5.1853445457946 |
L(r)(E,1)/r! |
Ω |
0.51396034654411 |
Real period |
R |
0.16814995490443 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000291 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7084a1 |
Quadratic twists by: -3 |