Atkin-Lehner |
2- 3- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
82656bd |
Isogeny class |
Conductor |
82656 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25984 |
Modular degree for the optimal curve |
Δ |
107122176 = 29 · 36 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -2 -4 1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-171,702] |
[a1,a2,a3,a4,a6] |
Generators |
[13:26:1] |
Generators of the group modulo torsion |
j |
1481544/287 |
j-invariant |
L |
7.147370727714 |
L(r)(E,1)/r! |
Ω |
1.7851835108647 |
Real period |
R |
2.0018588254396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999932931 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82656v1 9184b1 |
Quadratic twists by: -4 -3 |