Atkin-Lehner |
2- 3- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
9516c |
Isogeny class |
Conductor |
9516 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-678379044096 = -1 · 28 · 32 · 136 · 61 |
Discriminant |
Eigenvalues |
2- 3- -2 4 -4 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2196,2196] |
[a1,a2,a3,a4,a6] |
j |
4572808064048/2649918141 |
j-invariant |
L |
2.1771904883263 |
L(r)(E,1)/r! |
Ω |
0.54429762208158 |
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 |
38064t2 28548c2 123708k2 |
Quadratic twists by: -4 -3 13 |