Atkin-Lehner |
2- 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49728eq |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
1038369677377536 = 218 · 310 · 72 · 372 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-84257,9257055] |
[a1,a2,a3,a4,a6] |
j |
252352098250057/3961065969 |
j-invariant |
L |
4.9329171106324 |
L(r)(E,1)/r! |
Ω |
0.49329171108875 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
49728d2 12432bk2 |
Quadratic twists by: -4 8 |