Atkin-Lehner |
2+ 5+ 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86450b |
Isogeny class |
Conductor |
86450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
2701562500 = 22 · 58 · 7 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 0 13+ -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-817,8841] |
[a1,a2,a3,a4,a6] |
Generators |
[4:73:1] |
Generators of the group modulo torsion |
j |
3862503009/172900 |
j-invariant |
L |
3.5689673434504 |
L(r)(E,1)/r! |
Ω |
1.4222069293039 |
Real period |
R |
1.2547285735312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17290l1 |
Quadratic twists by: 5 |