Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
60984bx |
Isogeny class |
Conductor |
60984 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-135535286004636672 = -1 · 210 · 36 · 7 · 1110 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,118701,-8121762] |
[a1,a2,a3,a4,a6] |
j |
139863132/102487 |
j-invariant |
L |
2.9444606639605 |
L(r)(E,1)/r! |
Ω |
0.18402879169692 |
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 |
121968cb3 6776a4 5544j4 |
Quadratic twists by: -4 -3 -11 |