Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49728cj |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1030128648192 = 214 · 38 · 7 · 372 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 0 -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4145,-91761] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:111:1] |
Generators of the group modulo torsion |
j |
480819584464/62874063 |
j-invariant |
L |
5.3466109131118 |
L(r)(E,1)/r! |
Ω |
0.60012323247637 |
Real period |
R |
1.1136485441163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728da2 3108d2 |
Quadratic twists by: -4 8 |