Atkin-Lehner |
2- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
64288n |
Isogeny class |
Conductor |
64288 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
7200256 = 29 · 73 · 41 |
Discriminant |
Eigenvalues |
2- -1 3 7- -4 2 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-184,1016] |
[a1,a2,a3,a4,a6] |
Generators |
[5:14:1] |
Generators of the group modulo torsion |
j |
3944312/41 |
j-invariant |
L |
5.3741225230934 |
L(r)(E,1)/r! |
Ω |
2.3660260138129 |
Real period |
R |
1.1356854261306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993057 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64288c1 128576q1 64288q1 |
Quadratic twists by: -4 8 -7 |