Atkin-Lehner |
2+ 3- 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
68970be |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-4.5466826446377E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11- -1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,235104207,-2932474456892] |
[a1,a2,a3,a4,a6] |
Generators |
[591476:10731795:64] |
Generators of the group modulo torsion |
j |
6704454305153231555159/21210610091950080000 |
j-invariant |
L |
5.8863447360332 |
L(r)(E,1)/r! |
Ω |
0.022253626534797 |
Real period |
R |
11.021321113286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000107 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68970cr2 |
Quadratic twists by: -11 |