Atkin-Lehner |
2- 3+ 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
71994be |
Isogeny class |
Conductor |
71994 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
168480 |
Modular degree for the optimal curve |
Δ |
1390005148584 = 23 · 3 · 138 · 71 |
Discriminant |
Eigenvalues |
2- 3+ -3 -2 4 13+ -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2792,-3775] |
[a1,a2,a3,a4,a6] |
j |
2950753/1704 |
j-invariant |
L |
2.1514606022948 |
L(r)(E,1)/r! |
Ω |
0.71715352812618 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71994m1 |
Quadratic twists by: 13 |