Atkin-Lehner |
2- 3- 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
82950ct |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
41806800 = 24 · 33 · 52 · 72 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -5 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-578,-5388] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:10:1] |
Generators of the group modulo torsion |
j |
854307420745/1672272 |
j-invariant |
L |
13.5033325259 |
L(r)(E,1)/r! |
Ω |
0.97378874767749 |
Real period |
R |
0.5777832783746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82950s1 |
Quadratic twists by: 5 |