Atkin-Lehner |
2- 3- 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
82950cp |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
680 |
Product of Tamagawa factors cp |
deg |
94003200 |
Modular degree for the optimal curve |
Δ |
3.4190996380393E+28 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -4 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-858040463,-3800339720583] |
[a1,a2,a3,a4,a6] |
j |
4471229807001227431070313769/2188223768345161236480000 |
j-invariant |
L |
4.9832950283385 |
L(r)(E,1)/r! |
Ω |
0.029313500797848 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16590a1 |
Quadratic twists by: 5 |