Atkin-Lehner |
2- 3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
2730v |
Isogeny class |
Conductor |
2730 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.1567663830927E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2432580,-737334495] |
[a1,a2,a3,a4,a6] |
j |
1591934139020114746758719/1156766383092650262660 |
j-invariant |
L |
2.7727274484007 |
L(r)(E,1)/r! |
Ω |
0.086647732762523 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21840cl7 87360bx7 8190l8 13650bd8 |
Quadratic twists by: -4 8 -3 5 |