Atkin-Lehner |
2+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22984b |
Isogeny class |
Conductor |
22984 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3101893957089634304 = 211 · 137 · 176 |
Discriminant |
Eigenvalues |
2+ -2 -2 -2 -4 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-370504,18706416] |
[a1,a2,a3,a4,a6] |
Generators |
[43:1690:1] |
Generators of the group modulo torsion |
j |
569001644066/313788397 |
j-invariant |
L |
1.6864034912595 |
L(r)(E,1)/r! |
Ω |
0.2194553416465 |
Real period |
R |
3.842247535665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45968a2 1768b2 |
Quadratic twists by: -4 13 |