Atkin-Lehner |
2+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
46256f |
Isogeny class |
Conductor |
46256 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
44352 |
Modular degree for the optimal curve |
Δ |
-348286217216 = -1 · 210 · 78 · 59 |
Discriminant |
Eigenvalues |
2+ -1 1 7+ -4 -2 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-800,29968] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:104:1] [-16:196:1] |
Generators of the group modulo torsion |
j |
-9604/59 |
j-invariant |
L |
8.105337452694 |
L(r)(E,1)/r! |
Ω |
0.82720399260347 |
Real period |
R |
0.81653956432021 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23128a1 46256j1 |
Quadratic twists by: -4 -7 |