Atkin-Lehner |
2+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
59048a |
Isogeny class |
Conductor |
59048 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
46656 |
Modular degree for the optimal curve |
Δ |
-4833787376 = -1 · 24 · 113 · 613 |
Discriminant |
Eigenvalues |
2+ 1 -2 -1 11+ -4 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6464,197921] |
[a1,a2,a3,a4,a6] |
Generators |
[-88:305:1] [-4:473:1] |
Generators of the group modulo torsion |
j |
-1402803698432/226981 |
j-invariant |
L |
10.072582066559 |
L(r)(E,1)/r! |
Ω |
1.3250667921899 |
Real period |
R |
0.63346379505324 |
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 |
118096c1 59048i1 |
Quadratic twists by: -4 -11 |