Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
49728ey |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-824291328 = -1 · 212 · 3 · 72 · 372 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 2 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-329,-2793] |
[a1,a2,a3,a4,a6] |
Generators |
[28182:250083:343] |
Generators of the group modulo torsion |
j |
-964430272/201243 |
j-invariant |
L |
7.3392034979732 |
L(r)(E,1)/r! |
Ω |
0.55414785093768 |
Real period |
R |
6.6220625827221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728dd2 24864e1 |
Quadratic twists by: -4 8 |