Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
87024dz |
Isogeny class |
Conductor |
87024 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
210405564811008 = 28 · 36 · 77 · 372 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1334188,592717544] |
[a1,a2,a3,a4,a6] |
Generators |
[815:6882:1] |
Generators of the group modulo torsion |
j |
8720611169506000/6986007 |
j-invariant |
L |
8.5753881752659 |
L(r)(E,1)/r! |
Ω |
0.46827042437971 |
Real period |
R |
3.0521495453241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977965 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21756g2 12432bd2 |
Quadratic twists by: -4 -7 |