Atkin-Lehner |
2- 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11970br |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
Δ |
1455825643776000000 = 214 · 38 · 56 · 74 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7056068,7215797607] |
[a1,a2,a3,a4,a6] |
Generators |
[933:37533:1] |
Generators of the group modulo torsion |
j |
53294746224000958661881/1997017344000000 |
j-invariant |
L |
6.6461334017825 |
L(r)(E,1)/r! |
Ω |
0.25209695387514 |
Real period |
R |
0.94155008046659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
95760eb2 3990g2 59850cd2 83790fr2 |
Quadratic twists by: -4 -3 5 -7 |