Atkin-Lehner |
3- 5- 7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
94185bb |
Isogeny class |
Conductor |
94185 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
420547798125 = 38 · 54 · 73 · 13 · 23 |
Discriminant |
Eigenvalues |
0 3- 5- 7- -1 13+ 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1902,-6773] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:157:1] |
Generators of the group modulo torsion |
j |
1043825065984/576883125 |
j-invariant |
L |
6.0248869940624 |
L(r)(E,1)/r! |
Ω |
0.77404355160975 |
Real period |
R |
0.32431890652312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999930922 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31395c1 |
Quadratic twists by: -3 |