Atkin-Lehner |
2- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
6992o |
Isogeny class |
Conductor |
6992 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
466536669184 = 213 · 195 · 23 |
Discriminant |
Eigenvalues |
2- 1 1 2 3 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2277120,1321836596] |
[a1,a2,a3,a4,a6] |
Generators |
[850:1064:1] |
Generators of the group modulo torsion |
j |
318802492415278298881/113900554 |
j-invariant |
L |
5.2754465994418 |
L(r)(E,1)/r! |
Ω |
0.56060042826862 |
Real period |
R |
0.47051753204459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
874e2 27968be2 62928bl2 |
Quadratic twists by: -4 8 -3 |