Atkin-Lehner |
2- 3- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
15576j |
Isogeny class |
Conductor |
15576 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2829823755264 = 210 · 38 · 112 · 592 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11+ 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-140184,-20248704] |
[a1,a2,a3,a4,a6] |
Generators |
[459:3510:1] |
Generators of the group modulo torsion |
j |
297524132353809508/2763499761 |
j-invariant |
L |
4.3973062287607 |
L(r)(E,1)/r! |
Ω |
0.24673168607059 |
Real period |
R |
4.4555548365023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
31152e2 124608u2 46728j2 |
Quadratic twists by: -4 8 -3 |