Atkin-Lehner |
2- 3+ 7+ 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
41538i |
Isogeny class |
Conductor |
41538 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1351784470854888 = 23 · 320 · 72 · 23 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ -4 0 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-33586,-1589929] |
[a1,a2,a3,a4,a6] |
j |
4189858645006022689/1351784470854888 |
j-invariant |
L |
4.3403099801315 |
L(r)(E,1)/r! |
Ω |
0.36169249834888 |
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 |
124614d2 |
Quadratic twists by: -3 |