Atkin-Lehner |
2- 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
82908bg |
Isogeny class |
Conductor |
82908 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-4806425152368 = -1 · 24 · 310 · 72 · 473 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 6 -1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3759,-57071] |
[a1,a2,a3,a4,a6] |
Generators |
[239:3807:1] |
Generators of the group modulo torsion |
j |
10277727488/8409663 |
j-invariant |
L |
5.8041469989928 |
L(r)(E,1)/r! |
Ω |
0.42681773485651 |
Real period |
R |
0.37774040824416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007259 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27636s1 82908i1 |
Quadratic twists by: -3 -7 |