Atkin-Lehner |
2- 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
87024bz |
Isogeny class |
Conductor |
87024 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
123695217408 = 28 · 3 · 76 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -4 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1388,10956] |
[a1,a2,a3,a4,a6] |
Generators |
[1365:50394:1] |
Generators of the group modulo torsion |
j |
9826000/4107 |
j-invariant |
L |
5.1270354450398 |
L(r)(E,1)/r! |
Ω |
0.9454801461499 |
Real period |
R |
5.422679112285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010596 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21756l2 1776h2 |
Quadratic twists by: -4 -7 |