Atkin-Lehner |
2+ 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
64960a |
Isogeny class |
Conductor |
64960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-68115496960 = -1 · 226 · 5 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1012,2032] |
[a1,a2,a3,a4,a6] |
Generators |
[294:12617:216] |
Generators of the group modulo torsion |
j |
437245479/259840 |
j-invariant |
L |
4.754780640462 |
L(r)(E,1)/r! |
Ω |
0.67032510787866 |
Real period |
R |
7.0932456267256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001088 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64960bf1 2030a1 |
Quadratic twists by: -4 8 |