Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76440bs |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
19240072750080 = 210 · 33 · 5 · 77 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13736,587196] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:784:1] |
Generators of the group modulo torsion |
j |
2379293284/159705 |
j-invariant |
L |
3.4823704340846 |
L(r)(E,1)/r! |
Ω |
0.67358340285134 |
Real period |
R |
1.2924793048463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002846 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10920v1 |
Quadratic twists by: -7 |