Atkin-Lehner |
2- 3+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
1914l |
Isogeny class |
Conductor |
1914 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-599241137616 = -1 · 24 · 36 · 116 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1726,-24289] |
[a1,a2,a3,a4,a6] |
Generators |
[43:341:1] |
Generators of the group modulo torsion |
j |
568630774259423/599241137616 |
j-invariant |
L |
3.2985643637783 |
L(r)(E,1)/r! |
Ω |
0.49650535109109 |
Real period |
R |
0.55363021374116 |
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 |
15312r2 61248q2 5742g2 47850bk2 |
Quadratic twists by: -4 8 -3 5 |