Atkin-Lehner |
2+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
46256p |
Isogeny class |
Conductor |
46256 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-1776970496 = -1 · 28 · 76 · 59 |
Discriminant |
Eigenvalues |
2+ -1 1 7- 0 2 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,180,1744] |
[a1,a2,a3,a4,a6] |
Generators |
[16:92:1] |
Generators of the group modulo torsion |
j |
21296/59 |
j-invariant |
L |
5.5356992983991 |
L(r)(E,1)/r! |
Ω |
1.0451529812336 |
Real period |
R |
2.6482722614723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23128r1 944a1 |
Quadratic twists by: -4 -7 |