Atkin-Lehner |
2- 7+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
78064b |
Isogeny class |
Conductor |
78064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
8114143366217728 = 224 · 74 · 173 · 41 |
Discriminant |
Eigenvalues |
2- 0 2 7+ -4 -6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-50419,453042] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:2058:1] [1234:42630:1] |
Generators of the group modulo torsion |
j |
3460560508171593/1980992032768 |
j-invariant |
L |
10.852118982671 |
L(r)(E,1)/r! |
Ω |
0.35504652694103 |
Real period |
R |
15.282671648998 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999608 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9758d1 |
Quadratic twists by: -4 |