Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440fc |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
4541681664000 = 215 · 38 · 53 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -4 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-47532,3987344] |
[a1,a2,a3,a4,a6] |
Generators |
[98:520:1] [-110:2808:1] |
Generators of the group modulo torsion |
j |
497169541448/190125 |
j-invariant |
L |
8.8259516259256 |
L(r)(E,1)/r! |
Ω |
0.76042079379585 |
Real period |
R |
0.48361116294294 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440fa2 18720bh2 12480bn2 |
Quadratic twists by: -4 8 -3 |