Atkin-Lehner |
2- 3- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
82908i |
Isogeny class |
Conductor |
82908 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
-565471112750942832 = -1 · 24 · 310 · 78 · 473 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 -6 1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,184191,19575353] |
[a1,a2,a3,a4,a6] |
Generators |
[109:6399:1] |
Generators of the group modulo torsion |
j |
10277727488/8409663 |
j-invariant |
L |
8.2060884658286 |
L(r)(E,1)/r! |
Ω |
0.18809267562147 |
Real period |
R |
3.6356583436452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997658 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27636b1 82908bg1 |
Quadratic twists by: -3 -7 |