Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
89376l |
Isogeny class |
Conductor |
89376 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
164851119057408 = 29 · 3 · 77 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16872,-568812] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:294:1] |
Generators of the group modulo torsion |
j |
8818423496/2736741 |
j-invariant |
L |
5.5609948226967 |
L(r)(E,1)/r! |
Ω |
0.42906568267804 |
Real period |
R |
1.620088439346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000878 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89376s3 12768h3 |
Quadratic twists by: -4 -7 |