Atkin-Lehner |
2- 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
74592bo |
Isogeny class |
Conductor |
74592 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-9389193408 = -1 · 26 · 37 · 72 · 372 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 2 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-741,9056] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:126:1] [-11:126:1] |
Generators of the group modulo torsion |
j |
-964430272/201243 |
j-invariant |
L |
10.009949115027 |
L(r)(E,1)/r! |
Ω |
1.240427307186 |
Real period |
R |
1.0087198436603 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74592be1 24864e1 |
Quadratic twists by: -4 -3 |