Atkin-Lehner |
3- 23+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
12627a |
Isogeny class |
Conductor |
12627 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
490752 |
Modular degree for the optimal curve |
Δ |
-5.8389588665194E+19 |
Discriminant |
Eigenvalues |
-2 3- 0 1 5 -5 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2357265,1440727578] |
[a1,a2,a3,a4,a6] |
j |
-1987107706733542912000/80095457702598147 |
j-invariant |
L |
0.78531321860574 |
L(r)(E,1)/r! |
Ω |
0.19632830465144 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4209c1 |
Quadratic twists by: -3 |