Atkin-Lehner |
2+ 3+ 5+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
119850b |
Isogeny class |
Conductor |
119850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10616832 |
Modular degree for the optimal curve |
Δ |
-5.2154118419175E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-28075500,57352050000] |
[a1,a2,a3,a4,a6] |
j |
-156634061220235043455681/333786357882720000 |
j-invariant |
L |
0.54525842138647 |
L(r)(E,1)/r! |
Ω |
0.13631458478926 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23970w1 |
Quadratic twists by: 5 |