Atkin-Lehner |
2- 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38976bv |
Isogeny class |
Conductor |
38976 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
282990081024 = 210 · 34 · 76 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -2 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3589,-79909] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:60:1] [-34:63:1] |
Generators of the group modulo torsion |
j |
4994190819328/276357501 |
j-invariant |
L |
9.5247418653128 |
L(r)(E,1)/r! |
Ω |
0.61892977108885 |
Real period |
R |
1.2824209237499 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38976c1 9744j1 116928eq1 |
Quadratic twists by: -4 8 -3 |