Atkin-Lehner |
2- 3+ 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
71994bm |
Isogeny class |
Conductor |
71994 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-88960329509376 = -1 · 29 · 3 · 138 · 71 |
Discriminant |
Eigenvalues |
2- 3+ -3 5 -1 13+ 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3968,-441823] |
[a1,a2,a3,a4,a6] |
Generators |
[265:4261:1] |
Generators of the group modulo torsion |
j |
1431435383/18430464 |
j-invariant |
L |
8.8612764393438 |
L(r)(E,1)/r! |
Ω |
0.29637618265092 |
Real period |
R |
0.83052074415259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999805 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5538a1 |
Quadratic twists by: 13 |