Atkin-Lehner |
2- 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
82908ba |
Isogeny class |
Conductor |
82908 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
250760926192896 = 28 · 311 · 76 · 47 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -3 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-97608,-11712764] |
[a1,a2,a3,a4,a6] |
Generators |
[-187:27:1] |
Generators of the group modulo torsion |
j |
4684079104/11421 |
j-invariant |
L |
5.4405584950136 |
L(r)(E,1)/r! |
Ω |
0.27014182829042 |
Real period |
R |
3.3566062476953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006236 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27636r1 1692c1 |
Quadratic twists by: -3 -7 |