Atkin-Lehner |
2- 3- 7+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67158bj |
Isogeny class |
Conductor |
67158 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
2398660911489024 = 213 · 36 · 73 · 134 · 41 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 0 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-60512,5237507] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:2721:1] |
Generators of the group modulo torsion |
j |
33613518667426489/3290344185856 |
j-invariant |
L |
10.495976441266 |
L(r)(E,1)/r! |
Ω |
0.44626095138984 |
Real period |
R |
0.90460839181943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000046 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7462b1 |
Quadratic twists by: -3 |