Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440cx |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2620200960000 = 214 · 39 · 54 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 6 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6588,-190512] |
[a1,a2,a3,a4,a6] |
j |
98055792/8125 |
j-invariant |
L |
2.1308526734602 |
L(r)(E,1)/r! |
Ω |
0.53271316837291 |
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 |
37440b2 9360bf2 37440dh2 |
Quadratic twists by: -4 8 -3 |