Atkin-Lehner |
2- 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
82908bb |
Isogeny class |
Conductor |
82908 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29568 |
Modular degree for the optimal curve |
Δ |
-3008565504 = -1 · 28 · 36 · 73 · 47 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -3 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-63,2646] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:28:1] |
Generators of the group modulo torsion |
j |
-432/47 |
j-invariant |
L |
5.2531567776012 |
L(r)(E,1)/r! |
Ω |
1.1697583471713 |
Real period |
R |
2.2454025607619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002245 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9212b1 82908s1 |
Quadratic twists by: -3 -7 |