Atkin-Lehner |
2+ 3- 7- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
87822p |
Isogeny class |
Conductor |
87822 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1792622664 = 23 · 38 · 72 · 17 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-118032768,493603199320] |
[a1,a2,a3,a4,a6] |
Generators |
[6279:-3997:1] |
Generators of the group modulo torsion |
j |
249461748299456001747228673/2459016 |
j-invariant |
L |
3.729269980549 |
L(r)(E,1)/r! |
Ω |
0.33581512898077 |
Real period |
R |
2.7762819870346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.000000006754 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29274bf4 |
Quadratic twists by: -3 |