Atkin-Lehner |
2- 3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
49728ej |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
-89112576 = -1 · 214 · 3 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 2 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,111,111] |
[a1,a2,a3,a4,a6] |
j |
9148592/5439 |
j-invariant |
L |
2.3316645470959 |
L(r)(E,1)/r! |
Ω |
1.1658322734987 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728bc1 12432b1 |
Quadratic twists by: -4 8 |