Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
61152cd |
Isogeny class |
Conductor |
61152 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-188405388965154816 = -1 · 212 · 34 · 76 · 136 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 2 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-122369,-26641329] |
[a1,a2,a3,a4,a6] |
Generators |
[1066:32487:1] |
Generators of the group modulo torsion |
j |
-420526439488/390971529 |
j-invariant |
L |
6.6533854698957 |
L(r)(E,1)/r! |
Ω |
0.12292567719316 |
Real period |
R |
2.2552195839124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000263 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61152l2 122304u1 1248f2 |
Quadratic twists by: -4 8 -7 |