Atkin-Lehner |
2- 19+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
122816g |
Isogeny class |
Conductor |
122816 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-330446976801488896 = -1 · 214 · 19 · 1016 |
Discriminant |
Eigenvalues |
2- -2 -2 0 0 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1373329,-620530449] |
[a1,a2,a3,a4,a6] |
Generators |
[1017978029226:-19537389201545:665338617] |
Generators of the group modulo torsion |
j |
-17483479230844959568/20168882861419 |
j-invariant |
L |
3.1564633049487 |
L(r)(E,1)/r! |
Ω |
0.069726175840635 |
Real period |
R |
15.089805833376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998103307 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122816c2 30704a2 |
Quadratic twists by: -4 8 |