Atkin-Lehner |
2+ 3+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
68952i |
Isogeny class |
Conductor |
68952 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4.7021060480888E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 0 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,427176,-312066756] |
[a1,a2,a3,a4,a6] |
j |
1744147297148/9513325341 |
j-invariant |
L |
1.6174916903172 |
L(r)(E,1)/r! |
Ω |
0.10109323106296 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5304j4 |
Quadratic twists by: 13 |