Atkin-Lehner |
2+ 3- 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
64464c |
Isogeny class |
Conductor |
64464 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
9282816 = 28 · 33 · 17 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 3 5 -4 2 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-849,9243] |
[a1,a2,a3,a4,a6] |
j |
264678249472/36261 |
j-invariant |
L |
6.672974665446 |
L(r)(E,1)/r! |
Ω |
2.2243248937896 |
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 |
32232d1 |
Quadratic twists by: -4 |