Atkin-Lehner |
3- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
71487h |
Isogeny class |
Conductor |
71487 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
66240 |
Modular degree for the optimal curve |
Δ |
-45993520521 = -1 · 36 · 134 · 472 |
Discriminant |
Eigenvalues |
1 3- -3 -4 -2 13+ -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,729,6826] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:50:1] [46:823:8] |
Generators of the group modulo torsion |
j |
2056223/2209 |
j-invariant |
L |
8.4810481204461 |
L(r)(E,1)/r! |
Ω |
0.75246293351618 |
Real period |
R |
2.8177627570345 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7943b1 71487p1 |
Quadratic twists by: -3 13 |