Atkin-Lehner |
2- 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
53724g |
Isogeny class |
Conductor |
53724 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
113465088 = 28 · 32 · 113 · 37 |
Discriminant |
Eigenvalues |
2- 3- 2 4 11+ 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19532,-1057212] |
[a1,a2,a3,a4,a6] |
j |
2418622412528/333 |
j-invariant |
L |
4.8460988920335 |
L(r)(E,1)/r! |
Ω |
0.4038415744988 |
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 |
53724h2 |
Quadratic twists by: -11 |