Atkin-Lehner |
2- 3- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
71568bi |
Isogeny class |
Conductor |
71568 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-7669441584 = -1 · 24 · 39 · 73 · 71 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ -5 3 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,492,331] |
[a1,a2,a3,a4,a6] |
Generators |
[5:54:1] |
Generators of the group modulo torsion |
j |
1129201664/657531 |
j-invariant |
L |
4.128103037106 |
L(r)(E,1)/r! |
Ω |
0.79517421676563 |
Real period |
R |
1.2978611951276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997134 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17892g1 23856z1 |
Quadratic twists by: -4 -3 |