Atkin-Lehner |
2- 3- 31- 37- |
Signs for the Atkin-Lehner involutions |
Class |
82584l |
Isogeny class |
Conductor |
82584 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-677666631024 = -1 · 24 · 36 · 31 · 374 |
Discriminant |
Eigenvalues |
2- 3- -1 1 -6 -4 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22563,1305099] |
[a1,a2,a3,a4,a6] |
Generators |
[85:-37:1] |
Generators of the group modulo torsion |
j |
-108909742530816/58098991 |
j-invariant |
L |
4.9421596470554 |
L(r)(E,1)/r! |
Ω |
0.89547287113736 |
Real period |
R |
0.34494063158163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006689 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9176b1 |
Quadratic twists by: -3 |