Atkin-Lehner |
2- 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
84960bn |
Isogeny class |
Conductor |
84960 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
149845635801000000 = 26 · 316 · 56 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-132897,929936] |
[a1,a2,a3,a4,a6] |
Generators |
[367:1260:1] |
Generators of the group modulo torsion |
j |
5563674858425536/3211712015625 |
j-invariant |
L |
5.7341743057728 |
L(r)(E,1)/r! |
Ω |
0.27651459786938 |
Real period |
R |
3.4562215720407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999946476 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
84960bi1 28320a1 |
Quadratic twists by: -4 -3 |