Atkin-Lehner |
2- 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
82908bi |
Isogeny class |
Conductor |
82908 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
-1279633006362348288 = -1 · 28 · 317 · 77 · 47 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -5 6 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,262248,17033380] |
[a1,a2,a3,a4,a6] |
Generators |
[8:4374:1] |
Generators of the group modulo torsion |
j |
90845732864/58281363 |
j-invariant |
L |
5.1611860183062 |
L(r)(E,1)/r! |
Ω |
0.16955449392859 |
Real period |
R |
1.2683203654017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999876501 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27636u1 11844e1 |
Quadratic twists by: -3 -7 |