Atkin-Lehner |
2+ 3- 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
82950ba |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
443040 |
Modular degree for the optimal curve |
Δ |
-55720951120800 = -1 · 25 · 313 · 52 · 7 · 792 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 -5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-15306,811228] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:-1056:1] |
Generators of the group modulo torsion |
j |
-15860907851741185/2228838044832 |
j-invariant |
L |
4.1394665295323 |
L(r)(E,1)/r! |
Ω |
0.60778882910848 |
Real period |
R |
0.26194994634777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974949 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82950ce1 |
Quadratic twists by: 5 |