Atkin-Lehner |
2+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
64288c |
Isogeny class |
Conductor |
64288 |
Conductor |
∏ cp |
4 |
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] |
j |
3944312/41 |
j-invariant |
L |
5.1859847826524 |
L(r)(E,1)/r! |
Ω |
1.2964961983576 |
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 |
64288n1 128576v1 64288h1 |
Quadratic twists by: -4 8 -7 |