Atkin-Lehner |
2- 3- 5- 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
82950cv |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
420 |
Product of Tamagawa factors cp |
deg |
309120 |
Modular degree for the optimal curve |
Δ |
5418161280000 = 210 · 37 · 54 · 72 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -6 -5 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6913,190217] |
[a1,a2,a3,a4,a6] |
Generators |
[1202:40979:1] [-88:389:1] |
Generators of the group modulo torsion |
j |
58458449435425/8669058048 |
j-invariant |
L |
17.351795917616 |
L(r)(E,1)/r! |
Ω |
0.73164497480767 |
Real period |
R |
0.056467004115831 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82950k1 |
Quadratic twists by: 5 |