Atkin-Lehner |
2- 3- 7+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
87822bg |
Isogeny class |
Conductor |
87822 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
59497999848 = 23 · 37 · 7 · 172 · 412 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -4 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8195,-283237] |
[a1,a2,a3,a4,a6] |
Generators |
[-418:327:8] [-51:34:1] |
Generators of the group modulo torsion |
j |
83482101627625/81615912 |
j-invariant |
L |
15.174424052774 |
L(r)(E,1)/r! |
Ω |
0.50181304446259 |
Real period |
R |
5.0398663474274 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999902 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29274n2 |
Quadratic twists by: -3 |