Atkin-Lehner |
2- 3- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11970bx |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3.4801707838915E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-25443122,56977352471] |
[a1,a2,a3,a4,a6] |
j |
-2498661176703400098047449/477389682289643523750 |
j-invariant |
L |
2.9447575132127 |
L(r)(E,1)/r! |
Ω |
0.092023672287898 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95760fj3 3990j4 59850bw3 83790eg3 |
Quadratic twists by: -4 -3 5 -7 |