Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49728ch |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
89023463424 = 214 · 34 · 72 · 372 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1489,-17329] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:48:1] |
Generators of the group modulo torsion |
j |
22298697808/5433561 |
j-invariant |
L |
6.8730185024743 |
L(r)(E,1)/r! |
Ω |
0.78216443583401 |
Real period |
R |
2.1967946213035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
49728cx2 6216q2 |
Quadratic twists by: -4 8 |