Atkin-Lehner |
2+ 3- 11+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
19734i |
Isogeny class |
Conductor |
19734 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1582522682598 = -1 · 2 · 32 · 11 · 134 · 234 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11+ 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-807,61096] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:192:1] [-4:255:1] |
Generators of the group modulo torsion |
j |
-58019032533097/1582522682598 |
j-invariant |
L |
5.4323912128321 |
L(r)(E,1)/r! |
Ω |
0.70708804030814 |
Real period |
R |
3.8413824751337 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59202bb3 |
Quadratic twists by: -3 |