Atkin-Lehner |
2- 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49728dj |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1413070848 = 214 · 32 · 7 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 -4 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1393,20401] |
[a1,a2,a3,a4,a6] |
Generators |
[25:24:1] |
Generators of the group modulo torsion |
j |
18258658000/86247 |
j-invariant |
L |
4.8950084130361 |
L(r)(E,1)/r! |
Ω |
1.5251021872925 |
Real period |
R |
0.80240662786604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728bh2 12432bw2 |
Quadratic twists by: -4 8 |