Atkin-Lehner |
3- 5- 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
55845p |
Isogeny class |
Conductor |
55845 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1269760 |
Modular degree for the optimal curve |
Δ |
-3.3544834442139E+19 |
Discriminant |
Eigenvalues |
1 3- 5- -3 2 2 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,223281,275626908] |
[a1,a2,a3,a4,a6] |
Generators |
[372:20064:1] |
Generators of the group modulo torsion |
j |
1688691803176626191/46014862060546875 |
j-invariant |
L |
6.4442125916436 |
L(r)(E,1)/r! |
Ω |
0.15577608642815 |
Real period |
R |
0.64638176534678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18615h1 |
Quadratic twists by: -3 |