Atkin-Lehner |
2+ 3- 7- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
28182i |
Isogeny class |
Conductor |
28182 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-2.4293366368083E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-926112996,-10847937416990] |
[a1,a2,a3,a4,a6] |
Generators |
[1063022:375745165:8] |
Generators of the group modulo torsion |
j |
-87844716857096724039767043261625/24293366368082853888 |
j-invariant |
L |
4.9166491541935 |
L(r)(E,1)/r! |
Ω |
0.013683700636914 |
Real period |
R |
13.30766593437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84546br3 |
Quadratic twists by: -3 |