Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
60984ck |
Isogeny class |
Conductor |
60984 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-2125569964041216 = -1 · 210 · 310 · 74 · 114 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11- -1 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,17061,-2045626] |
[a1,a2,a3,a4,a6] |
Generators |
[187:-2772:1] |
Generators of the group modulo torsion |
j |
50250332/194481 |
j-invariant |
L |
5.189881586774 |
L(r)(E,1)/r! |
Ω |
0.23533892774223 |
Real period |
R |
0.4594332696889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121968bo1 20328c1 60984bb1 |
Quadratic twists by: -4 -3 -11 |