Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520du |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-7.8006447669321E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3997653,-2931253414] |
[a1,a2,a3,a4,a6] |
Generators |
[742:21060:1] |
Generators of the group modulo torsion |
j |
2366200373628880151/2612420149248000 |
j-invariant |
L |
7.1280798164891 |
L(r)(E,1)/r! |
Ω |
0.071046774420872 |
Real period |
R |
2.78692760845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999924 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8190bv3 21840bd3 |
Quadratic twists by: -4 -3 |