Atkin-Lehner |
2+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53312bf |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-15776940032 = -1 · 216 · 72 · 173 |
Discriminant |
Eigenvalues |
2+ -3 2 7- -5 -7 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-364,-6608] |
[a1,a2,a3,a4,a6] |
Generators |
[46:-272:1] |
Generators of the group modulo torsion |
j |
-1660932/4913 |
j-invariant |
L |
2.8343485564346 |
L(r)(E,1)/r! |
Ω |
0.50547849933544 |
Real period |
R |
0.46727153252346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997496 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53312cl1 6664f1 53312g1 |
Quadratic twists by: -4 8 -7 |