Atkin-Lehner |
2- 3+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65100g |
Isogeny class |
Conductor |
65100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
1429075200 = 28 · 3 · 52 · 74 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 3 -4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16213,800017] |
[a1,a2,a3,a4,a6] |
Generators |
[71:-42:1] |
Generators of the group modulo torsion |
j |
73647951708160/223293 |
j-invariant |
L |
5.3320800098838 |
L(r)(E,1)/r! |
Ω |
1.3207466607039 |
Real period |
R |
0.3364309099327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993801 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65100bb1 |
Quadratic twists by: 5 |