Atkin-Lehner |
2- 5+ 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86450x |
Isogeny class |
Conductor |
86450 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
1149785000000 = 26 · 57 · 72 · 13 · 192 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -6 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11755,490747] |
[a1,a2,a3,a4,a6] |
Generators |
[-101:850:1] [1173:6050:27] |
Generators of the group modulo torsion |
j |
11495740446009/73586240 |
j-invariant |
L |
14.678492058609 |
L(r)(E,1)/r! |
Ω |
0.87268321283993 |
Real period |
R |
0.70083144351153 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998767 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17290e1 |
Quadratic twists by: 5 |