Atkin-Lehner |
2- 3- 5+ 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
82950cl |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
99360 |
Modular degree for the optimal curve |
Δ |
1316914200 = 23 · 35 · 52 · 73 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 5 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1593,-24543] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:15:1] |
Generators of the group modulo torsion |
j |
17883316793785/52676568 |
j-invariant |
L |
12.51716261531 |
L(r)(E,1)/r! |
Ω |
0.75582471507788 |
Real period |
R |
1.1040622129521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001853 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82950t1 |
Quadratic twists by: 5 |