Atkin-Lehner |
7- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
44051i |
Isogeny class |
Conductor |
44051 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1221120 |
Modular degree for the optimal curve |
Δ |
-1080754701217163 = -1 · 79 · 29 · 314 |
Discriminant |
Eigenvalues |
-2 -1 -4 7- -6 4 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-825960,289205832] |
[a1,a2,a3,a4,a6] |
Generators |
[544:759:1] |
Generators of the group modulo torsion |
j |
-529679353323556864/9186263387 |
j-invariant |
L |
1.1221074677619 |
L(r)(E,1)/r! |
Ω |
0.45040798374909 |
Real period |
R |
0.3114141812136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999244 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6293e1 |
Quadratic twists by: -7 |