Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
60984bx |
Isogeny class |
Conductor |
60984 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
1591088537808 = 24 · 36 · 7 · 117 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28314,-1832787] |
[a1,a2,a3,a4,a6] |
j |
121485312/77 |
j-invariant |
L |
2.9444606639605 |
L(r)(E,1)/r! |
Ω |
0.36805758339383 |
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 |
121968cb1 6776a1 5544j1 |
Quadratic twists by: -4 -3 -11 |