Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440fl |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1816672665600 = 216 · 38 · 52 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18732,984656] |
[a1,a2,a3,a4,a6] |
Generators |
[-80:1404:1] [37:585:1] |
Generators of the group modulo torsion |
j |
15214885924/38025 |
j-invariant |
L |
8.3263028360528 |
L(r)(E,1)/r! |
Ω |
0.83781942874552 |
Real period |
R |
2.4845159202505 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37440ck2 9360o2 12480bq2 |
Quadratic twists by: -4 8 -3 |