Atkin-Lehner |
2+ 3- 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
37920f |
Isogeny class |
Conductor |
37920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
161766720 = 26 · 34 · 5 · 792 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-566,-5340] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:6:1] [34:126:1] |
Generators of the group modulo torsion |
j |
313877446336/2527605 |
j-invariant |
L |
9.0665742680331 |
L(r)(E,1)/r! |
Ω |
0.97913469504568 |
Real period |
R |
2.3149456131798 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37920l1 75840l2 113760bj1 |
Quadratic twists by: -4 8 -3 |