Atkin-Lehner |
2+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82810b |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
-156685556889680 = -1 · 24 · 5 · 74 · 138 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ 4 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-49859,4323022] |
[a1,a2,a3,a4,a6] |
Generators |
[235:2248:1] |
Generators of the group modulo torsion |
j |
-1182740881/13520 |
j-invariant |
L |
5.5604937246374 |
L(r)(E,1)/r! |
Ω |
0.57865806891654 |
Real period |
R |
0.80077424323503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999962154 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82810bi1 6370r1 |
Quadratic twists by: -7 13 |