Atkin-Lehner |
2+ 5+ 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
82160b |
Isogeny class |
Conductor |
82160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
2596256000 = 28 · 53 · 13 · 792 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 0 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-436,2364] |
[a1,a2,a3,a4,a6] |
Generators |
[31:140:1] |
Generators of the group modulo torsion |
j |
35887146064/10141625 |
j-invariant |
L |
4.8125420048257 |
L(r)(E,1)/r! |
Ω |
1.3429198289725 |
Real period |
R |
3.5836405871745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000828 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41080e1 |
Quadratic twists by: -4 |