Atkin-Lehner |
2- 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
53724h |
Isogeny class |
Conductor |
53724 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
201010324762368 = 28 · 32 · 119 · 37 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11+ -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2363412,1397695572] |
[a1,a2,a3,a4,a6] |
j |
2418622412528/333 |
j-invariant |
L |
1.7600982314669 |
L(r)(E,1)/r! |
Ω |
0.44002455775603 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53724g2 |
Quadratic twists by: -11 |