Atkin-Lehner |
5+ 7- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
82775i |
Isogeny class |
Conductor |
82775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
2845390625 = 57 · 7 · 112 · 43 |
Discriminant |
Eigenvalues |
1 2 5+ 7- 11+ 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-875,-10000] |
[a1,a2,a3,a4,a6] |
Generators |
[-42406:52487:2744] |
Generators of the group modulo torsion |
j |
4750104241/182105 |
j-invariant |
L |
12.040535584165 |
L(r)(E,1)/r! |
Ω |
0.87974554189185 |
Real period |
R |
6.8431921578987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981098 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16555d1 |
Quadratic twists by: 5 |