Atkin-Lehner |
2- 3- 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
71994bp |
Isogeny class |
Conductor |
71994 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
269568 |
Modular degree for the optimal curve |
Δ |
9382534752942 = 2 · 34 · 138 · 71 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 -6 13+ -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-31353,-2134341] |
[a1,a2,a3,a4,a6] |
Generators |
[-6540:7833:64] |
Generators of the group modulo torsion |
j |
4178448625/11502 |
j-invariant |
L |
9.324802302129 |
L(r)(E,1)/r! |
Ω |
0.35884058918671 |
Real period |
R |
2.1654932075923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000238 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71994r1 |
Quadratic twists by: 13 |