Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
11760cr |
Isogeny class |
Conductor |
11760 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
6809671181250000 = 24 · 33 · 58 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-74545,-6778150] |
[a1,a2,a3,a4,a6] |
Generators |
[-190:750:1] |
Generators of the group modulo torsion |
j |
70954958848/10546875 |
j-invariant |
L |
5.7437534587719 |
L(r)(E,1)/r! |
Ω |
0.29180606645349 |
Real period |
R |
1.6402884538406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2940e1 47040ek1 35280ee1 58800fr1 |
Quadratic twists by: -4 8 -3 5 |