Atkin-Lehner |
2+ 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
49856a |
Isogeny class |
Conductor |
49856 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.5327326025415E+22 |
Discriminant |
Eigenvalues |
2+ 0 2 -2 0 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6425164,-8647309968] |
[a1,a2,a3,a4,a6] |
Generators |
[3100859791125734238697643010876817774031911731:-55241350667405773537378590209625009441635291475:973282785561766092926327023489794897801599] |
Generators of the group modulo torsion |
j |
-111901637620233904617/58469108678494208 |
j-invariant |
L |
6.2041800853167 |
L(r)(E,1)/r! |
Ω |
0.046276138172059 |
Real period |
R |
67.034332707622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49856h2 1558a2 |
Quadratic twists by: -4 8 |