Atkin-Lehner |
2- 3- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
82908n |
Isogeny class |
Conductor |
82908 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-1316247408 = -1 · 24 · 36 · 74 · 47 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 0 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-441,3969] |
[a1,a2,a3,a4,a6] |
Generators |
[21:63:1] [-21:63:1] |
Generators of the group modulo torsion |
j |
-338688/47 |
j-invariant |
L |
9.3745489544046 |
L(r)(E,1)/r! |
Ω |
1.477229505252 |
Real period |
R |
0.17627872764399 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999937 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9212a1 82908t1 |
Quadratic twists by: -3 -7 |