Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
60984bs |
Isogeny class |
Conductor |
60984 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
10371540098304 = 28 · 33 · 7 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 11- 4 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15972,761332] |
[a1,a2,a3,a4,a6] |
j |
304128/7 |
j-invariant |
L |
2.8865805059419 |
L(r)(E,1)/r! |
Ω |
0.72164512709097 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121968e1 60984j1 60984e1 |
Quadratic twists by: -4 -3 -11 |