Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
61152bk |
Isogeny class |
Conductor |
61152 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-732955152384 = -1 · 212 · 32 · 76 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -6 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1503,-35055] |
[a1,a2,a3,a4,a6] |
j |
778688/1521 |
j-invariant |
L |
1.8818090611079 |
L(r)(E,1)/r! |
Ω |
0.47045226601039 |
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 |
61152w2 122304dn1 1248i2 |
Quadratic twists by: -4 8 -7 |