Atkin-Lehner |
2- 3- 11- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
110682cd |
Isogeny class |
Conductor |
110682 |
Conductor |
∏ cp |
504 |
Product of Tamagawa factors cp |
Δ |
-4541994571426430976 = -1 · 221 · 37 · 116 · 13 · 43 |
Discriminant |
Eigenvalues |
2- 3- -3 -4 11- 13- -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2278634,1328448809] |
[a1,a2,a3,a4,a6] |
Generators |
[1689:-48761:1] [-1671:22471:1] |
Generators of the group modulo torsion |
j |
-1794815142832918731097/6230445228294144 |
j-invariant |
L |
13.159243505655 |
L(r)(E,1)/r! |
Ω |
0.24584899103424 |
Real period |
R |
0.95581637400833 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000036 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
36894q2 |
Quadratic twists by: -3 |