Atkin-Lehner |
2- 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
60516i |
Isogeny class |
Conductor |
60516 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
8470303488 = 28 · 39 · 412 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 3 1 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-615,3854] |
[a1,a2,a3,a4,a6] |
Generators |
[46:270:1] |
Generators of the group modulo torsion |
j |
82000/27 |
j-invariant |
L |
6.8957417815306 |
L(r)(E,1)/r! |
Ω |
1.2051530983723 |
Real period |
R |
2.8609401538708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000203 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20172a1 60516n1 |
Quadratic twists by: -3 41 |